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2131123611232 = 257112932951891
BaseRepresentation
bin11111000000110000110…
…111011010011001100000
321112201210200001110102201
4133000300313122121200
5234404020121024412
64311005155022544
7306653141544640
oct37006067323140
97481720043381
102131123611232
117518937a1740
122a5038b9aa54
13125c6c165905
147520b282520
153a67e7dce57
hex1f030dda660

2131123611232 has 96 divisors (see below), whose sum is σ = 5248794587904. Its totient is φ = 827473804800.

The previous prime is 2131123611209. The next prime is 2131123611269. The reversal of 2131123611232 is 2321163211312.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 2131123611232.

It is a congruent number.

It is an unprimeable number.

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, 753994 + ... + 2197897.

It is an arithmetic number, because the mean of its divisors is an integer number (54674943624).

Almost surely, 22131123611232 is an apocalyptic number.

2131123611232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2131123611232 is an abundant number, since it is smaller than the sum of its proper divisors (3117670976672).

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

2131123611232 is a wasteful number, since it uses less digits than its factorization.

2131123611232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2952212 (or 2952204 counting only the distinct ones).

The product of its digits is 2592, while the sum is 28.

Adding to 2131123611232 its reverse (2321163211312), we get a palindrome (4452286822544).

The spelling of 2131123611232 in words is "two trillion, one hundred thirty-one billion, one hundred twenty-three million, six hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 293 308 352 586 616 1172 1232 2051 2344 2464 3223 4102 4688 6446 8204 9376 12892 16408 22561 25784 32816 45122 51568 65632 90244 103136 180488 360976 721952 2951891 5903782 11807564 20663237 23615128 32470801 41326474 47230256 64941602 82652948 94460512 129883204 165305896 227295607 259766408 330611792 454591214 519532816 661223584 864904063 909182428 1039065632 1729808126 1818364856 3459616252 3636729712 6054328441 6919232504 7273459424 9513944693 12108656882 13838465008 19027889386 24217313764 27676930016 38055778772 48434627528 66597612851 76111557544 96869255056 133195225702 152223115088 193738510112 266390451404 304446230176 532780902808 1065561805616 2131123611232