Search a number
-
+
100761078444 = 223135881109829
BaseRepresentation
bin101110111010111010…
…1000000101010101100
3100122002012202010121020
41131311311000222230
53122324314002234
6114142231334140
710164645015045
oct1356565005254
9318065663536
10100761078444
1139807002654
1217640821350
13966a3b5910
144c3c1778cc
15294ae74549
hex1775d40aac

100761078444 has 48 divisors (see below), whose sum is σ = 253239863520. Its totient is φ = 30997854720.

The previous prime is 100761078427. The next prime is 100761078479. The reversal of 100761078444 is 444870167001.

It is a super-2 number, since 2×1007610784442 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100761078396 and 100761078405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 862522 + ... + 972350.

It is an arithmetic number, because the mean of its divisors is an integer number (5275830490).

Almost surely, 2100761078444 is an apocalyptic number.

It is an amenable number.

100761078444 is an abundant number, since it is smaller than the sum of its proper divisors (152478785076).

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

100761078444 is a wasteful number, since it uses less digits than its factorization.

100761078444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115730 (or 115728 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The spelling of 100761078444 in words is "one hundred billion, seven hundred sixty-one million, seventy-eight thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 5881 11762 17643 23524 35286 70572 76453 109829 152906 219658 229359 305812 329487 439316 458718 658974 917436 1317948 1427777 2855554 4283331 5711108 8566662 17133324 645904349 1291808698 1937713047 2583617396 3875426094 7750852188 8396756537 16793513074 25190269611 33587026148 50380539222 100761078444