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100414022332 = 221317383296581
BaseRepresentation
bin101110110000100100…
…1000110001010111100
3100121012000200212010011
41131201021012022330
53121121442203312
6114043552553004
710153232051461
oct1354111061274
9317160625104
10100414022332
1139649109218
1217564552764
139613520680
144c08035668
15292a76cda7
hex17612462bc

100414022332 has 48 divisors (see below), whose sum is σ = 200897528832. Its totient is φ = 43504727040.

The previous prime is 100414022329. The next prime is 100414022399. The reversal of 100414022332 is 233220414001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 190282 + ... + 486862.

It is an arithmetic number, because the mean of its divisors is an integer number (4185365184).

Almost surely, 2100414022332 is an apocalyptic number.

It is an amenable number.

100414022332 is an abundant number, since it is smaller than the sum of its proper divisors (100483506500).

100414022332 is a wasteful number, since it uses less digits than its factorization.

100414022332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296998 (or 296996 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 100414022332 its reverse (233220414001), we get a palindrome (333634436333).

The spelling of 100414022332 in words is "one hundred billion, four hundred fourteen million, twenty-two thousand, three hundred thirty-two".

Divisors: 1 2 4 13 17 26 34 52 68 221 383 442 766 884 1532 4979 6511 9958 13022 19916 26044 84643 169286 296581 338572 593162 1186324 3855553 5041877 7711106 10083754 15422212 20167508 65544401 113590523 131088802 227181046 262177604 454362092 1476676799 1931038891 2953353598 3862077782 5906707196 7724155564 25103505583 50207011166 100414022332