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2131102233432 = 2332157188526383
BaseRepresentation
bin11111000000101111100…
…101110111001101011000
321112201202011211100121100
4133000233211313031120
5234403444132432212
64311003112511400
7306652462046664
oct37005745671530
97481664740540
102131102233432
11751882720237
122a50319ab560
13125c678bc323
14752084b98a4
153a67c9b8bdc
hex1f02f977358

2131102233432 has 48 divisors (see below), whose sum is σ = 5808497891040. Its totient is φ = 705842774208.

The previous prime is 2131102233431. The next prime is 2131102233443. The reversal of 2131102233432 is 2343322011312.

2131102233432 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 1 + 0 + 223 + 3 + 432 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2131102233396 and 2131102233405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131102233431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 94251888 + ... + 94274495.

It is an arithmetic number, because the mean of its divisors is an integer number (121010372730).

Almost surely, 22131102233432 is an apocalyptic number.

It is an amenable number.

2131102233432 is an abundant number, since it is smaller than the sum of its proper divisors (3677395657608).

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

2131102233432 is a wasteful number, since it uses less digits than its factorization.

2131102233432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188526552 (or 188526545 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 2131102233432 its reverse (2343322011312), we get a palindrome (4474424244744).

The spelling of 2131102233432 in words is "two trillion, one hundred thirty-one billion, one hundred two million, two hundred thirty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 157 314 471 628 942 1256 1413 1884 2826 3768 5652 11304 188526383 377052766 565579149 754105532 1131158298 1508211064 1696737447 2262316596 3393474894 4524633192 6786949788 13573899576 29598642131 59197284262 88795926393 118394568524 177591852786 236789137048 266387779179 355183705572 532775558358 710367411144 1065551116716 2131102233432