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2131140101220 = 2234513101193737
BaseRepresentation
bin11111000000110001110…
…110010100010001100100
321112201211211002020110000
4133000301312110101210
5234404033331214340
64311010544301300
7306653431654464
oct37006166242144
97481754066400
102131140101220
117518a2034929
122a5042611830
13125c726ba4c0
147520d535ba4
153a680e98d30
hex1f031d94464

2131140101220 has 120 divisors (see below), whose sum is σ = 7199732071224. Its totient is φ = 524588327424.

The previous prime is 2131140101201. The next prime is 2131140101261. The reversal of 2131140101220 is 221010411312.

It can be written as a sum of positive squares in 4 ways, for example, as 69291085824 + 2061849015396 = 263232^2 + 1435914^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2131140101193 and 2131140101202.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 50575809 + ... + 50617928.

Almost surely, 22131140101220 is an apocalyptic number.

2131140101220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2131140101220 is an abundant number, since it is smaller than the sum of its proper divisors (5068591970004).

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

2131140101220 is a wasteful number, since it uses less digits than its factorization.

2131140101220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101193771 (or 101193760 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 2131140101220 its reverse (221010411312), we get a palindrome (2352150512532).

The spelling of 2131140101220 in words is "two trillion, one hundred thirty-one billion, one hundred forty million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 81 90 108 117 130 135 156 162 180 195 234 260 270 324 351 390 405 468 540 585 702 780 810 1053 1170 1404 1620 1755 2106 2340 3510 4212 5265 7020 10530 21060 101193737 202387474 303581211 404774948 505968685 607162422 910743633 1011937370 1214324844 1315518581 1517906055 1821487266 2023874740 2631037162 2732230899 3035812110 3642974532 3946555743 4553718165 5262074324 5464461798 6071624220 6577592905 7893111486 8196692697 9107436330 10928923596 11839667229 13155185810 13661154495 15786222972 16393385394 18214872660 19732778715 23679334458 26310371620 27322308990 32786770788 35519001687 39465557430 40983463485 47358668916 54644617980 59198336145 71038003374 78931114860 81966926970 106557005061 118396672290 142076006748 163933853940 177595008435 213114010122 236793344580 355190016870 426228020244 532785025305 710380033740 1065570050610 2131140101220