Search a number
-
+
101030405544 = 233317238913441
BaseRepresentation
bin101111000010111100…
…0011010010110101000
3100122202222112100221000
41132011320122112220
53123402240434134
6114225052115000
710204425164205
oct1360570322650
9318688470830
10101030405544
1139935037032
12176b6a65a60
1396b1134373
144c65c44cac
152964924e99
hex1785e1a5a8

101030405544 has 256 divisors, whose sum is σ = 313574976000. Its totient is φ = 29974855680.

The previous prime is 101030405501. The next prime is 101030405563. The reversal of 101030405544 is 445504030101.

It is a happy number.

101030405544 is a `hidden beast` number, since 1 + 0 + 103 + 0 + 4 + 0 + 554 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7509864 + ... + 7523304.

It is an arithmetic number, because the mean of its divisors is an integer number (1224902250).

Almost surely, 2101030405544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101030405544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156787488000).

101030405544 is an abundant number, since it is smaller than the sum of its proper divisors (212544570456).

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

101030405544 is a wasteful number, since it uses less digits than its factorization.

101030405544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13585 (or 13575 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 101030405544 its reverse (445504030101), we get a palindrome (546534435645).

The spelling of 101030405544 in words is "one hundred one billion, thirty million, four hundred five thousand, five hundred forty-four".