Search a number
-
+
105022515352134 = 23235571366306499
BaseRepresentation
bin10111111000010001110101…
…101110001001001001000110
3111202212001110200001001101210
4113320101311232021021012
5102231142102412232014
61011210402201232250
731056424556220432
oct2770216556111106
9452761420031353
10105022515352134
1130510886a91a76
12b942097a92686
13467a771a5ac83
141bd118c9699c2
15c21d239bb859
hex5f8475b89246

105022515352134 has 32 divisors (see below), whose sum is σ = 219570919776000. Its totient is φ = 33425322167072.

The previous prime is 105022515352129. The next prime is 105022515352201. The reversal of 105022515352134 is 431253515220501.

It is a super-2 number, since 2×1050225153521342 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105022515352092 and 105022515352101.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 683076384 + ... + 683230115.

It is an arithmetic number, because the mean of its divisors is an integer number (6861591243000).

Almost surely, 2105022515352134 is an apocalyptic number.

105022515352134 is an abundant number, since it is smaller than the sum of its proper divisors (114548404423866).

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

105022515352134 is a wasteful number, since it uses less digits than its factorization.

105022515352134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366307084.

The product of its (nonzero) digits is 180000, while the sum is 39.

The spelling of 105022515352134 in words is "one hundred five trillion, twenty-two billion, five hundred fifteen million, three hundred fifty-two thousand, one hundred thirty-four".

Divisors: 1 2 3 6 23 46 69 138 557 1114 1671 3342 12811 25622 38433 76866 1366306499 2732612998 4098919497 8197838994 31425049477 62850098954 94275148431 188550296862 761032719943 1522065439886 2283098159829 4566196319658 17503752558689 35007505117378 52511257676067 105022515352134