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2131011322110 = 2325112469187179
BaseRepresentation
bin11111000000101010001…
…011000100000011111110
321112201111211202120201100
4133000222023010003332
5234403302344301420
64310550104153530
7306650306240256
oct37005213040376
97481454676640
102131011322110
11751836377210
122a50074688a6
13125c51b0b648
14751da3b2966
153a674a0c190
hex1f02a2c40fe

2131011322110 has 96 divisors (see below), whose sum is σ = 6044637156480. Its totient is φ = 516581956800.

The previous prime is 2131011322109. The next prime is 2131011322129. The reversal of 2131011322110 is 112231101312.

2131011322110 is a `hidden beast` number, since 21 + 310 + 1 + 1 + 322 + 1 + 10 = 666.

It is a super-2 number, since 2×21310113221102 (a number of 25 digits) contains 22 as substring.

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

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 47 ways as a sum of consecutive naturals, for example, 24400501 + ... + 24487679.

It is an arithmetic number, because the mean of its divisors is an integer number (62964970380).

Almost surely, 22131011322110 is an apocalyptic number.

2131011322110 is an abundant number, since it is smaller than the sum of its proper divisors (3913625834370).

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

2131011322110 is a wasteful number, since it uses less digits than its factorization.

2131011322110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111894 (or 111891 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 2131011322110 its reverse (112231101312), we get a palindrome (2243242423422).

The spelling of 2131011322110 in words is "two trillion, one hundred thirty-one billion, eleven million, three hundred twenty-two thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 24691 49382 74073 87179 123455 148146 174358 222219 246910 261537 271601 370365 435895 444438 523074 543202 740730 784611 814803 871790 958969 1111095 1307685 1358005 1569222 1629606 1917938 2222190 2444409 2615370 2716010 2876907 3923055 4074015 4794845 4888818 5753814 7846110 8148030 8630721 9589690 12222045 14384535 17261442 24444090 28769070 43153605 86307210 2152536689 4305073378 6457610067 10762683445 12915220134 19372830201 21525366890 23677903579 32288050335 38745660402 47355807158 64576100670 71033710737 96864151005 118389517895 142067421474 193728302010 213101132211 236779035790 355168553685 426202264422 710337107370 1065505661055 2131011322110