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105402022434 = 232471087114617
BaseRepresentation
bin110001000101001110…
…0110011101000100010
3101002001122111111220200
41202022130303220202
53211330404204214
6120230535050030
710420650260022
oct1421234635042
9332048444820
10105402022434
114077876a555
1218516b10916
139c29a3a317
14515c691a82
152b1d603d09
hex188a733a22

105402022434 has 48 divisors (see below), whose sum is σ = 233446606848. Its totient is φ = 34354541376.

The previous prime is 105402022399. The next prime is 105402022441. The reversal of 105402022434 is 434220204501.

105402022434 is a `hidden beast` number, since 1 + 0 + 5 + 402 + 0 + 224 + 34 = 666.

It is a super-2 number, since 2×1054020224342 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105402022398 and 105402022407.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 862294 + ... + 976910.

It is an arithmetic number, because the mean of its divisors is an integer number (4863470976).

Almost surely, 2105402022434 is an apocalyptic number.

105402022434 is an abundant number, since it is smaller than the sum of its proper divisors (128044584414).

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

105402022434 is a wasteful number, since it uses less digits than its factorization.

105402022434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115759 (or 115756 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 105402022434 its reverse (434220204501), we get a palindrome (539622226935).

The spelling of 105402022434 in words is "one hundred five billion, four hundred two million, twenty-two thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 47 94 141 282 423 846 1087 2174 3261 6522 9783 19566 51089 102178 114617 153267 229234 306534 343851 459801 687702 919602 1031553 2063106 5386999 10773998 16160997 32321994 48482991 96965982 124588679 249177358 373766037 747532074 1121298111 2242596222 5855667913 11711335826 17567003739 35134007478 52701011217 105402022434