Search a number
-
+
100110090980 = 22526211909769
BaseRepresentation
bin101110100111100000…
…1101100001011100100
3100120101211210112200102
41131033001230023210
53120011140402410
6113553454403232
710142551506314
oct1351701541344
9316354715612
10100110090980
113950259a089
121749a800518
139595577333
144bb991b444
15290dc342a5
hex174f06c2e4

100110090980 has 24 divisors (see below), whose sum is σ = 210311511480. Its totient is φ = 40028737280.

The previous prime is 100110090979. The next prime is 100110091007. The reversal of 100110090980 is 89090011001.

It can be written as a sum of positive squares in 4 ways, for example, as 2020862116 + 98089228864 = 44954^2 + 313192^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 902465 + ... + 1007304.

It is an arithmetic number, because the mean of its divisors is an integer number (8762979645).

Almost surely, 2100110090980 is an apocalyptic number.

100110090980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100110090980 is an abundant number, since it is smaller than the sum of its proper divisors (110201420500).

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

100110090980 is a wasteful number, since it uses less digits than its factorization.

100110090980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1912399 (or 1912397 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 29.

The spelling of 100110090980 in words is "one hundred billion, one hundred ten million, ninety thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 2621 5242 10484 13105 26210 52420 1909769 3819538 7639076 9548845 19097690 38195380 5005504549 10011009098 20022018196 25027522745 50055045490 100110090980