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31642151121 = 347140939607
BaseRepresentation
bin11101011110000001…
…001110100011010001
310000200012021211020000
4131132001032203101
51004300342313441
622311453040213
72200056563310
oct353601164321
9100605254200
1031642151121
1112468195519
126170a86069
132ca3668859
141762592277
15c52da22b6
hex75e04e8d1

31642151121 has 40 divisors (see below), whose sum is σ = 54060167040. Its totient is φ = 18067940352.

The previous prime is 31642151117. The next prime is 31642151137. The reversal of 31642151121 is 12115124613.

31642151121 is a `hidden beast` number, since 3 + 1 + 642 + 1 + 5 + 1 + 12 + 1 = 666.

It is not a de Polignac number, because 31642151121 - 22 = 31642151117 is a prime.

It is a super-3 number, since 3×316421511213 (a number of 32 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (31642156121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 779100 + ... + 818706.

It is an arithmetic number, because the mean of its divisors is an integer number (1351504176).

Almost surely, 231642151121 is an apocalyptic number.

It is an amenable number.

31642151121 is a deficient number, since it is larger than the sum of its proper divisors (22418015919).

31642151121 is a wasteful number, since it uses less digits than its factorization.

31642151121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41035 (or 41026 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

Adding to 31642151121 its reverse (12115124613), we get a palindrome (43757275734).

The spelling of 31642151121 in words is "thirty-one billion, six hundred forty-two million, one hundred fifty-one thousand, one hundred twenty-one".

Divisors: 1 3 7 9 21 27 63 81 189 567 1409 4227 9863 12681 29589 38043 39607 88767 114129 118821 266301 277249 356463 798903 831747 1069389 2495241 3208167 7485723 22457169 55806263 167418789 390643841 502256367 1171931523 1506769101 3515794569 4520307303 10547383707 31642151121