Search a number
-
+
10000142124231 = 375930792621351
BaseRepresentation
bin1001000110000101011011…
…1010110100010011000111
31022102000010002122220121210
42101201112322310103013
52302320242340433411
633134000223142503
72051325562362540
oct221412672642307
938360102586553
1010000142124231
113206044587066
121156117444a33
1357701772a6bc
1426801bd674c7
151251d7668ca6
hex91856eb44c7

10000142124231 has 32 divisors (see below), whose sum is σ = 15501627187200. Its totient is φ = 5615686648800.

The previous prime is 10000142124209. The next prime is 10000142124241. The reversal of 10000142124231 is 13242124100001.

It is not a de Polignac number, because 10000142124231 - 217 = 10000141993159 is a prime.

It is a super-2 number, since 2×100001421242312 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 10000142124198 and 10000142124207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000142124241) 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, 2504206 + ... + 5125556.

It is an arithmetic number, because the mean of its divisors is an integer number (484425849600).

Almost surely, 210000142124231 is an apocalyptic number.

10000142124231 is a deficient number, since it is larger than the sum of its proper divisors (5501485062969).

10000142124231 is a wasteful number, since it uses less digits than its factorization.

10000142124231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2624499.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 10000142124231 its reverse (13242124100001), we get a palindrome (23242266224232).

The spelling of 10000142124231 in words is "ten trillion, one hundred forty-two million, one hundred twenty-four thousand, two hundred thirty-one".

Divisors: 1 3 7 21 59 177 413 1239 3079 9237 21553 64659 181661 544983 1271627 2621351 3814881 7864053 18349457 55048371 154659709 463979127 1082617963 3247853889 8071139729 24213419187 56497978103 169493934309 476197244011 1428591732033 3333380708077 10000142124231