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2120210112 = 263371631831
BaseRepresentation
bin111111001011111…
…1101011011000000
312110202112211111110
41332113331123000
513320233210422
6550215243320
7103353326406
oct17627753300
95422484443
102120210112
11998892269
124b2079540
1327a345ac7
1416182b476
15c620a60c
hex7e5fd6c0

2120210112 has 112 divisors (see below), whose sum is σ = 5799848192. Its totient is φ = 683043840.

The previous prime is 2120210101. The next prime is 2120210117. The reversal of 2120210112 is 2110120212.

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 (2120210117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1157037 + ... + 1158867.

Almost surely, 22120210112 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 2120210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2899924096).

2120210112 is an abundant number, since it is smaller than the sum of its proper divisors (3679638080).

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

2120210112 is a wasteful number, since it uses less digits than its factorization.

2120210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2046 (or 2036 counting only the distinct ones).

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

The square root of 2120210112 is about 46045.7393468712. The cubic root of 2120210112 is about 1284.6740960160.

Adding to 2120210112 its reverse (2110120212), we get a palindrome (4230330324).

The spelling of 2120210112 in words is "two billion, one hundred twenty million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 148 163 192 222 296 326 444 489 592 652 888 978 1184 1304 1776 1831 1956 2368 2608 3552 3662 3912 5216 5493 6031 7104 7324 7824 10432 10986 12062 14648 15648 18093 21972 24124 29296 31296 36186 43944 48248 58592 67747 72372 87888 96496 117184 135494 144744 175776 192992 203241 270988 289488 298453 351552 385984 406482 541976 578976 596906 812964 895359 1083952 1157952 1193812 1625928 1790718 2167904 2387624 3251856 3581436 4335808 4775248 6503712 7162872 9550496 11042761 13007424 14325744 19100992 22085522 28651488 33128283 44171044 57302976 66256566 88342088 132513132 176684176 265026264 353368352 530052528 706736704 1060105056 2120210112