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2000210120112 = 2431937401314771
BaseRepresentation
bin11101000110110101110…
…100000100110110110000
321002012220002020001120110
4131012311310010312300
5230232412242320422
64130514524341320
7264340033332111
oct35066564046660
97065802201513
102000210120112
11701314516176
122837a23a4840
13116807c52ab9
146cb4c748208
153706b68560c
hex1d1b5d04db0

2000210120112 has 160 divisors (see below), whose sum is σ = 5587942705920. Its totient is φ = 614379064320.

The previous prime is 2000210120099. The next prime is 2000210120113. The reversal of 2000210120112 is 2110210120002.

It is a super-2 number, since 2×20002101201122 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (2000210120113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135407287 + ... + 135422057.

It is an arithmetic number, because the mean of its divisors is an integer number (34924641912).

Almost surely, 22000210120112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2000210120112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2793971352960).

2000210120112 is an abundant number, since it is smaller than the sum of its proper divisors (3587732585808).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2000210120112 is a wasteful number, since it uses less digits than its factorization.

2000210120112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18851 (or 18845 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2000210120112 its reverse (2110210120002), we get a palindrome (4110420240114).

The spelling of 2000210120112 in words is "two trillion, two hundred ten million, one hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 37 38 48 57 74 76 111 114 148 152 222 228 296 304 444 456 592 703 888 912 1406 1776 2109 2812 4013 4218 5624 8026 8436 11248 12039 14771 16052 16872 24078 29542 32104 33744 44313 48156 59084 64208 76247 88626 96312 118168 148481 152494 177252 192624 228741 236336 280649 296962 304988 354504 445443 457482 546527 561298 593924 609976 709008 841947 890886 914964 1093054 1122596 1187848 1219952 1639581 1683894 1781772 1829928 2186108 2245192 2375696 2821139 3279162 3367788 3563544 3659856 4372216 4490384 5642278 6558324 6735576 7127088 8463417 8744432 10384013 11284556 13116648 13471152 16926834 20768026 22569112 26233296 31152039 33853668 41536052 45138224 59276023 62304078 67707336 83072104 118552046 124608156 135414672 166144208 177828069 237104092 249216312 355656138 474208184 498432624 711312276 948416368 1126244437 1422624552 2193212851 2252488874 2845249104 3378733311 4386425702 4504977748 6579638553 6757466622 8772851404 9009955496 13159277106 13514933244 17545702808 18019910992 26318554212 27029866488 35091405616 41671044169 52637108424 54059732976 83342088338 105274216848 125013132507 166684176676 250026265014 333368353352 500052530028 666736706704 1000105060056 2000210120112