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12132121433031 = 3417711132574273
BaseRepresentation
bin1011000010001011101011…
…0010011101001111000111
31120221211010101212022110000
42300202322302131033013
53042233041041324111
641445230350532343
72361342164451555
oct260427262351707
946854111768400
1012132121433031
1139582272a0a76
12143b352b070b3
136a0091c47a22
142dd2aab12bd5
151608b7131c56
hexb08bac9d3c7

12132121433031 has 160 divisors (see below), whose sum is σ = 19712851348608. Its totient is φ = 7408000696320.

The previous prime is 12132121433017. The next prime is 12132121433039. The reversal of 12132121433031 is 13033412123121.

12132121433031 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 212 + 143 + 303 + 1 = 666.

It is not a de Polignac number, because 12132121433031 - 214 = 12132121416647 is a prime.

It is a super-2 number, since 2×121321214330312 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12132121432986 and 12132121433004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12132121433039) 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 159 ways as a sum of consecutive naturals, for example, 2839249311 + ... + 2839253583.

Almost surely, 212132121433031 is an apocalyptic number.

12132121433031 is a deficient number, since it is larger than the sum of its proper divisors (7580729915577).

12132121433031 is a wasteful number, since it uses less digits than its factorization.

12132121433031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4743 (or 4734 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 12132121433031 its reverse (13033412123121), we get a palindrome (25165533556152).

The spelling of 12132121433031 in words is "twelve trillion, one hundred thirty-two billion, one hundred twenty-one million, four hundred thirty-three thousand, thirty-one".

Divisors: 1 3 9 17 27 51 71 81 113 153 213 257 339 459 639 771 1017 1207 1377 1917 1921 2313 3051 3621 4273 4369 5751 5763 6939 8023 9153 10863 12819 13107 17289 18247 20817 24069 29041 32589 38457 39321 51867 54741 72207 72641 87123 97767 115371 117963 136391 155601 164223 216621 217923 261369 303383 310199 346113 353889 409173 482849 492669 493697 649863 653769 784107 910149 930597 1098161 1227519 1448547 1478007 1481091 1961307 2061911 2352321 2730447 2791791 3294483 3682557 4345641 4443273 5157511 5883921 6185733 8191341 8208433 8375373 9883449 11047671 13036923 13329819 15472533 18557199 18668737 24574023 24625299 25126119 29650347 34282279 35052487 39110769 39989457 46417599 55671597 56006211 73875897 77969431 88951041 102846837 105157461 124092193 139252797 167014791 168018633 221627691 233908293 308540511 315472383 372276579 417758391 504055899 582798743 664883073 701724879 925621533 946417149 1116829737 1325480327 1512167697 1748396229 2105174637 2109567281 2776864599 2839251447 3350489211 3976440981 5245188687 6315523911 6328701843 8810545703 10051467633 11929322943 15735566061 18986105529 26431637109 35787968829 47206698183 56958316587 79294911327 107363906487 149779276951 170874949761 237884733981 449337830853 713654201943 1348013492559 4044040477677 12132121433031