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2131001222031 = 32115313113012383
BaseRepresentation
bin11111000000101001100…
…100100010001110001111
321112201111010202110000100
4133000221210202032033
5234403242303101111
64310545103502143
7306650124343053
oct37005144421617
97481433673010
102131001222031
117518306a8940
122a5003bb7953
13125c4c9b3376
14751d8d03c63
153a673bb4756
hex1f02992238f

2131001222031 has 96 divisors (see below), whose sum is σ = 3451513089024. Its totient is φ = 1255980960000.

The previous prime is 2131001221991. The next prime is 2131001222039. The reversal of 2131001222031 is 1302221001312.

It is not a de Polignac number, because 2131001222031 - 214 = 2131001205647 is a prime.

It is a super-2 number, since 2×21310012220312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2131001221995 and 2131001222013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131001222039) 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 95 ways as a sum of consecutive naturals, for example, 894250266 + ... + 894252648.

It is an arithmetic number, because the mean of its divisors is an integer number (35953261344).

Almost surely, 22131001222031 is an apocalyptic number.

2131001222031 is a deficient number, since it is larger than the sum of its proper divisors (1320511866993).

2131001222031 is a wasteful number, since it uses less digits than its factorization.

2131001222031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3885 (or 3882 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2131001222031 its reverse (1302221001312), we get a palindrome (3433222223343).

The spelling of 2131001222031 in words is "two trillion, one hundred thirty-one billion, one million, two hundred twenty-two thousand, thirty-one".

Divisors: 1 3 9 11 33 53 99 131 159 393 477 583 1179 1301 1441 1749 2383 3903 4323 5247 6943 7149 11709 12969 14311 20829 21447 26213 42933 62487 68953 76373 78639 126299 128799 170431 206859 229119 235917 312173 378897 511293 620577 687357 758483 936519 1136691 1389289 1533879 1874741 2275449 2809557 3100283 3433903 4167867 5624223 6826347 9032843 9300849 10301709 12503601 16545169 16872669 27098529 27902547 30905127 34103113 49635507 81295587 99361273 102309339 148906521 164314999 181996859 298083819 306928017 406137073 492944997 545990577 894251457 1218411219 1478834991 1637971731 1807464989 3655233657 4467507803 5422394967 13402523409 16267184901 21525264869 40207570227 64575794607 193727383821 236777913559 710333740677 2131001222031