Search a number
-
+
100404512152 = 23719472007769
BaseRepresentation
bin101110110000010010…
…0110100010110011000
3100121011100210200121021
41131200210310112120
53121112023342102
6114043013052224
710153055162140
oct1354044642630
9317140720537
10100404512152
113964380306a
1217561327074
139611570a49
144c06a7b920
1529299e0137
hex1760934598

100404512152 has 64 divisors (see below), whose sum is σ = 231295104000. Its totient is φ = 39898365696.

The previous prime is 100404512147. The next prime is 100404512183. The reversal of 100404512152 is 251215404001.

It is a super-2 number, since 2×1004045121522 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 953877 + ... + 1053892.

It is an arithmetic number, because the mean of its divisors is an integer number (3613986000).

Almost surely, 2100404512152 is an apocalyptic number.

It is an amenable number.

100404512152 is an abundant number, since it is smaller than the sum of its proper divisors (130890591848).

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

100404512152 is a wasteful number, since it uses less digits than its factorization.

100404512152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2007848 (or 2007844 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

Adding to 100404512152 its reverse (251215404001), we get a palindrome (351619916153).

The spelling of 100404512152 in words is "one hundred billion, four hundred four million, five hundred twelve thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 19 28 38 47 56 76 94 133 152 188 266 329 376 532 658 893 1064 1316 1786 2632 3572 6251 7144 12502 25004 50008 2007769 4015538 8031076 14054383 16062152 28108766 38147611 56217532 76295222 94365143 112435064 152590444 188730286 267033277 305180888 377460572 534066554 660556001 754921144 1068133108 1321112002 1792937717 2136266216 2642224004 3585875434 5284448008 7171750868 12550564019 14343501736 25101128038 50202256076 100404512152