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351132112404 = 223329373030031
BaseRepresentation
bin1010001110000010001…
…10101101011000010100
31020120100000000110122000
411013001012231120110
521223104310044104
6425150255435300
734240244465343
oct5070106553024
91216300013560
10351132112404
11125a06a18137
1258075525b30
132715b2b3918
1412dcdd6db5a
15920162e639
hex51c11ad614

351132112404 has 96 divisors (see below), whose sum is σ = 967186214400. Its totient is φ = 109953728640.

The previous prime is 351132112403. The next prime is 351132112459. The reversal of 351132112404 is 404211231153.

351132112404 is a `hidden beast` number, since 3 + 511 + 3 + 21 + 124 + 0 + 4 = 666.

It is a super-2 number, since 2×3511321124042 (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (351132112403) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1399132 + ... + 1630899.

It is an arithmetic number, because the mean of its divisors is an integer number (10074856400).

Almost surely, 2351132112404 is an apocalyptic number.

It is an amenable number.

351132112404 is an abundant number, since it is smaller than the sum of its proper divisors (616054101996).

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

351132112404 is a wasteful number, since it uses less digits than its factorization.

351132112404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3030110 (or 3030102 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 351132112404 its reverse (404211231153), we get a palindrome (755343343557).

The spelling of 351132112404 in words is "three hundred fifty-one billion, one hundred thirty-two million, one hundred twelve thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 37 54 58 74 87 108 111 116 148 174 222 261 333 348 444 522 666 783 999 1044 1073 1332 1566 1998 2146 3132 3219 3996 4292 6438 9657 12876 19314 28971 38628 57942 115884 3030031 6060062 9090093 12120124 18180186 27270279 36360372 54540558 81810837 87870899 109081116 112111147 163621674 175741798 224222294 263612697 327243348 336333441 351483596 448444588 527225394 672666882 790838091 1009000323 1054450788 1345333764 1581676182 2018000646 2372514273 3027000969 3163352364 3251223263 4036001292 4745028546 6054001938 6502446526 9490057092 9753669789 12108003876 13004893052 19507339578 29261009367 39014679156 58522018734 87783028101 117044037468 175566056202 351132112404