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10121132033331 = 311171923334911677
BaseRepresentation
bin1001001101001000001001…
…1110101100010100110011
31022211120102002112010010020
42103102002132230110303
52311311034300031311
633305330040534523
72063141041550364
oct223220236542463
938746362463106
1010121132033331
1132523911a2580
121175662781443
13585559a2aba7
1426dc18951b6b
151284194aac06
hex934827ac533

10121132033331 has 128 divisors (see below), whose sum is σ = 16527079296000. Its totient is φ = 5429799567360.

The previous prime is 10121132033281. The next prime is 10121132033351. The reversal of 10121132033331 is 13333023112101.

It is not a de Polignac number, because 10121132033331 - 221 = 10121129936179 is a prime.

It is a super-2 number, since 2×101211320333312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10121132033351) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 866752065 + ... + 866763741.

It is an arithmetic number, because the mean of its divisors is an integer number (129117807000).

Almost surely, 210121132033331 is an apocalyptic number.

10121132033331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10121132033331 is a deficient number, since it is larger than the sum of its proper divisors (6405947262669).

10121132033331 is a wasteful number, since it uses less digits than its factorization.

10121132033331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12309.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 10121132033331 its reverse (13333023112101), we get a palindrome (23454155145432).

The spelling of 10121132033331 in words is "ten trillion, one hundred twenty-one billion, one hundred thirty-two million, thirty-three thousand, three hundred thirty-one".

Divisors: 1 3 11 17 19 33 51 57 187 209 233 323 349 561 627 699 969 1047 2563 3553 3839 3961 4427 5933 6631 7689 10659 11517 11677 11883 13281 17799 19893 35031 43571 48697 65263 72941 75259 81317 112727 128447 130713 146091 195789 198509 218823 221863 225777 243951 338181 385341 595527 665589 827849 894487 1239997 1382389 1545023 2183599 2440493 2483547 2683461 2720741 3719991 3771671 4075273 4147167 4635069 6550797 7321479 8162223 11315013 12225819 15206279 16995253 26265391 29928151 41488381 44828003 45618837 46252597 50985759 51694079 69279641 77430187 78796173 89784453 124465143 134484009 138757791 155082237 207838923 232290561 288919301 508778567 568634869 762076051 851732057 866757903 878799343 949538609 1316313179 1526335701 1705904607 2286228153 2555196171 2636398029 2848615827 3948939537 9666792773 10444924699 14479444969 16142156353 18041233571 29000378319 31334774097 43438334907 48426469059 54123700713 177563719883 198453569281 306700970707 532691159649 595360707843 920102912121 3373710677777 10121132033331