Search a number
-
+
100857687441 = 37191311929589
BaseRepresentation
bin101110111101110010…
…1100010110110010001
3100122022221112101020020
41131323211202312101
53123024031444231
6114200002134053
710200230124660
oct1357345426621
9318287471206
10100857687441
11398565983a5
1217669051329
13968440cac4
144c4ad24dd7
1529546a9396
hex177b962d91

100857687441 has 32 divisors (see below), whose sum is σ = 163011763200. Its totient is φ = 54182831040.

The previous prime is 100857687433. The next prime is 100857687443. The reversal of 100857687441 is 144786758001.

It is not a de Polignac number, because 100857687441 - 23 = 100857687433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100857687443) 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, 912526 + ... + 1017063.

It is an arithmetic number, because the mean of its divisors is an integer number (5094117600).

Almost surely, 2100857687441 is an apocalyptic number.

It is an amenable number.

100857687441 is a deficient number, since it is larger than the sum of its proper divisors (62154075759).

100857687441 is a wasteful number, since it uses less digits than its factorization.

100857687441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1929749.

The product of its (nonzero) digits is 1505280, while the sum is 51.

The spelling of 100857687441 in words is "one hundred billion, eight hundred fifty-seven million, six hundred eighty-seven thousand, four hundred forty-one".

Divisors: 1 3 7 19 21 57 131 133 393 399 917 2489 2751 7467 17423 52269 1929589 5788767 13507123 36662191 40521369 109986573 252776159 256635337 758328477 769906011 1769433113 4802747021 5308299339 14408241063 33619229147 100857687441