Search a number
-
+
10032331111434 = 2331715769608059
BaseRepresentation
bin1001000111111101010110…
…0010000011110000001010
31022112002012101220212221000
42101333111202003300022
52303332203231031214
633200442252555430
72053545342302352
oct221772542036012
938462171825830
1010032331111434
113218762408625
1211603bb482b76
1357a0774695a8
142697d2dc3b62
15125e6d536809
hex91fd5883c0a

10032331111434 has 64 divisors (see below), whose sum is σ = 23755838716800. Its totient is φ = 3127350829824.

The previous prime is 10032331111379. The next prime is 10032331111459. The reversal of 10032331111434 is 43411113323001.

10032331111434 is a `hidden beast` number, since 10 + 0 + 323 + 311 + 1 + 14 + 3 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 10032331111398 and 10032331111407.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34659904 + ... + 34948155.

It is an arithmetic number, because the mean of its divisors is an integer number (371184979950).

Almost surely, 210032331111434 is an apocalyptic number.

10032331111434 is an abundant number, since it is smaller than the sum of its proper divisors (13723507605366).

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

10032331111434 is a wasteful number, since it uses less digits than its factorization.

10032331111434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69608244 (or 69608238 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 10032331111434 its reverse (43411113323001), we get a palindrome (53443444434435).

The spelling of 10032331111434 in words is "ten trillion, thirty-two billion, three hundred thirty-one million, one hundred eleven thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 157 306 314 459 471 918 942 1413 2669 2826 4239 5338 8007 8478 16014 24021 48042 72063 144126 69608059 139216118 208824177 417648354 626472531 1183337003 1252945062 1879417593 2366674006 3550011009 3758835186 7100022018 10650033027 10928465263 21300066054 21856930526 31950099081 32785395789 63900198162 65570791578 98356187367 185783909471 196712374734 295068562101 371567818942 557351728413 590137124202 1114703456826 1672055185239 3344110370478 5016165555717 10032331111434