Search a number
-
+
100102240340415 = 325191091074115997
BaseRepresentation
bin10110110000101011011110…
…011110100000100110111111
3111010102200101020112221211100
4112300223132132200212333
5101110033342011343130
6552522200120024143
730041101555533405
oct2660533636404677
9433380336487740
10100102240340415
1129994138015185
12b288599902053
1343b17a6b3c7b1
141aa0d8d611475
15b88d50543c60
hex5b0ade7a09bf

100102240340415 has 48 divisors (see below), whose sum is σ = 184318305256800. Its totient is φ = 50113955909376.

The previous prime is 100102240340393. The next prime is 100102240340429. The reversal of 100102240340415 is 514043042201001.

100102240340415 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 0 + 2 + 240 + 3 + 4 + 0 + 415 = 666.

It is not a de Polignac number, because 100102240340415 - 210 = 100102240339391 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 536964804 + ... + 537151193.

It is an arithmetic number, because the mean of its divisors is an integer number (3839964692850).

Almost surely, 2100102240340415 is an apocalyptic number.

100102240340415 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

100102240340415 is a deficient number, since it is larger than the sum of its proper divisors (84216064916385).

100102240340415 is a wasteful number, since it uses less digits than its factorization.

100102240340415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074116136 (or 1074116133 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 100102240340415 its reverse (514043042201001), we get a palindrome (614145282541416).

The spelling of 100102240340415 in words is "one hundred trillion, one hundred two billion, two hundred forty million, three hundred forty thousand, four hundred fifteen".

Divisors: 1 3 5 9 15 19 45 57 95 109 171 285 327 545 855 981 1635 2071 4905 6213 10355 18639 31065 93195 1074115997 3222347991 5370579985 9667043973 16111739955 20408203943 48335219865 61224611829 102041019715 117078643673 183673835487 306123059145 351235931019 585393218365 918369177435 1053707793057 1756179655095 2224494229787 5268538965285 6673482689361 11122471148935 20020448068083 33367413446805 100102240340415