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101720075268 = 223719405115733
BaseRepresentation
bin101111010111011111…
…1010010110000000100
3100201120001021012221010
41132232333102300010
53131310314402033
6114421330122220
710230501242130
oct1365677226004
9321501235833
10101720075268
113a159370109
1217869a20370
139790c97766
144ccd6903c0
1529a5256863
hex17aefd2c04

101720075268 has 96 divisors (see below), whose sum is σ = 285618672640. Its totient is φ = 27524707200.

The previous prime is 101720075239. The next prime is 101720075299. The reversal of 101720075268 is 862570027101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6457530 + ... + 6473262.

Almost surely, 2101720075268 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 101720075268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142809336320).

101720075268 is an abundant number, since it is smaller than the sum of its proper divisors (183898597372).

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

101720075268 is a wasteful number, since it uses less digits than its factorization.

101720075268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19817 (or 19815 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 39.

The spelling of 101720075268 in words is "one hundred one billion, seven hundred twenty million, seventy-five thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 228 266 399 532 798 1596 4051 8102 12153 15733 16204 24306 28357 31466 47199 48612 56714 62932 76969 85071 94398 110131 113428 153938 170142 188796 220262 230907 298927 307876 330393 340284 440524 461814 538783 597854 660786 896781 923628 1077566 1195708 1321572 1616349 1793562 2092489 2155132 3232698 3587124 4184978 6277467 6465396 8369956 12554934 25109868 63734383 127468766 191203149 254937532 382406298 446140681 764812596 892281362 1210953277 1338422043 1784562724 2421906554 2676844086 3632859831 4843813108 5353688172 7265719662 8476672939 14531439324 16953345878 25430018817 33906691756 50860037634 101720075268