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20134242132312 = 23371141926002751
BaseRepresentation
bin1001001001111110111100…
…10110011010000101011000
32122021210222221201101211010
410210333132112122011120
510114334411441213222
6110453313152533520
74145436201225630
oct444773626320530
978253887641733
1020134242132312
11646297a86aa40
122312198b512a0
13b3085ccc6519
144d8706ca96c0
1524db1034c80c
hex124fde59a158

20134242132312 has 128 divisors (see below), whose sum is σ = 62905857638400. Its totient is φ = 5217191760000.

The previous prime is 20134242132269. The next prime is 20134242132317. The reversal of 20134242132312 is 21323124243102.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 20134242132312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20134242132317) 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 31 ways as a sum of consecutive naturals, for example, 12227064 + ... + 13775687.

It is an arithmetic number, because the mean of its divisors is an integer number (491452012800).

Almost surely, 220134242132312 is an apocalyptic number.

20134242132312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

20134242132312 is an abundant number, since it is smaller than the sum of its proper divisors (42771615506088).

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

20134242132312 is a wasteful number, since it uses less digits than its factorization.

20134242132312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26003197 (or 26003193 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 20134242132312 its reverse (21323124243102), we get a palindrome (41457366375414).

The spelling of 20134242132312 in words is "twenty trillion, one hundred thirty-four billion, two hundred forty-two million, one hundred thirty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 419 462 616 838 924 1257 1676 1848 2514 2933 3352 4609 5028 5866 8799 9218 10056 11732 13827 17598 18436 23464 27654 32263 35196 36872 55308 64526 70392 96789 110616 129052 193578 258104 387156 774312 26002751 52005502 78008253 104011004 156016506 182019257 208022008 286030261 312033012 364038514 546057771 572060522 624066024 728077028 858090783 1092115542 1144121044 1456154056 1716181566 2002211827 2184231084 2288242088 3432363132 4004423654 4368462168 6006635481 6864726264 8008847308 10895152669 12013270962 16017694616 21790305338 24026541924 32685458007 43580610676 48053083848 65370916014 76266068683 87161221352 119846679359 130741832028 152532137366 228798206049 239693358718 261483664056 305064274732 359540038077 457596412098 479386717436 610128549464 719080076154 838926755513 915192824196 958773434872 1438160152308 1677853511026 1830385648392 2516780266539 2876320304616 3355707022052 5033560533078 6711414044104 10067121066156 20134242132312