Search a number
-
+
106456223425103 = 19591511933258601
BaseRepresentation
bin11000001101001001000101…
…011000011010001001001111
3111221221010010020201101002122
4120031021011120122021033
5102423134321144100403
61014225151445043155
731265131312605626
oct3015110530321117
9457833106641078
10106456223425103
1130a139158a7402
12bb33b199b64bb
134752a18019246
141c40719c626bd
15c49286063838
hex60d24561a24f

106456223425103 has 32 divisors (see below), whose sum is σ = 115307586931200. Its totient is φ = 97976977920000.

The previous prime is 106456223425099. The next prime is 106456223425127. The reversal of 106456223425103 is 301524322654601.

It is a cyclic number.

It is not a de Polignac number, because 106456223425103 - 22 = 106456223425099 is a prime.

It is a super-2 number, since 2×1064562234251032 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106456223421103) 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, 31040003 + ... + 34298603.

It is an arithmetic number, because the mean of its divisors is an integer number (3603362091600).

Almost surely, 2106456223425103 is an apocalyptic number.

106456223425103 is a deficient number, since it is larger than the sum of its proper divisors (8851363506097).

106456223425103 is a wasteful number, since it uses less digits than its factorization.

106456223425103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3259023.

The product of its (nonzero) digits is 1036800, while the sum is 44.

The spelling of 106456223425103 in words is "one hundred six trillion, four hundred fifty-six billion, two hundred twenty-three million, four hundred twenty-five thousand, one hundred three".

Divisors: 1 19 59 151 193 1121 2869 3667 8909 11387 29143 169271 216353 553717 1719437 3258601 32669303 61913419 192257459 492048751 628909993 3652891721 9348926269 11949289867 29030876309 37105689587 94965408943 551586649871 705008102153 1804342769917 5602959127637 106456223425103