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351130130442 = 23471374332057
BaseRepresentation
bin1010001110000001111…
…11001001100000001010
31020120022212021202220000
411013000333021200022
521223103303133232
6425150145143430
734240221602130
oct5070077114012
91216285252800
10351130130442
11125a05894053
125807492ab76
132715aa6b770
1412dcd9b5750
15920138c27c
hex51c0fc980a

351130130442 has 160 divisors (see below), whose sum is σ = 969692435712. Its totient is φ = 92478226176.

The previous prime is 351130130419. The next prime is 351130130501. The reversal of 351130130442 is 244031031153.

It is a happy number.

351130130442 is a `hidden beast` number, since 3 + 5 + 11 + 301 + 304 + 42 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10937278 + ... + 10969334.

Almost surely, 2351130130442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 351130130442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484846217856).

351130130442 is an abundant number, since it is smaller than the sum of its proper divisors (618562305270).

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

351130130442 is a wasteful number, since it uses less digits than its factorization.

351130130442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32834 (or 32825 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 351130130442 its reverse (244031031153), we get a palindrome (595161161595).

The spelling of 351130130442 in words is "three hundred fifty-one billion, one hundred thirty million, one hundred thirty thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 81 91 117 126 162 182 189 234 273 351 378 546 567 702 743 819 1053 1134 1486 1638 2106 2229 2457 4458 4914 5201 6687 7371 9659 10402 13374 14742 15603 19318 20061 28977 31206 32057 40122 46809 57954 60183 64114 67613 86931 93618 96171 120366 135226 140427 173862 192342 202839 224399 260793 280854 288513 405678 416741 421281 448798 521586 577026 608517 673197 782379 833482 842562 865539 1217034 1250223 1346394 1564758 1731078 1825551 2019591 2500446 2596617 2917187 3651102 3750669 4039182 5193234 5476653 5834374 6058773 7501338 8751561 10953306 11252007 12117546 17503122 18176319 22504014 23818351 26254683 33756021 36352638 47636702 52509366 67512042 71455053 78764049 142910106 157528098 166728457 214365159 236292147 309638563 333456914 428730318 472584294 500185371 619277126 643095477 928915689 1000370742 1286190954 1500556113 1857831378 1929286431 2167469941 2786747067 3001112226 3858572862 4334939882 4501668339 5573494134 6502409823 8360241201 9003336678 13004819646 13505005017 16720482402 19507229469 25080723603 27010010034 39014458938 50161447206 58521688407 117043376814 175565065221 351130130442