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101663244100 = 2252113763811
BaseRepresentation
bin101111010101110011…
…0011111111101000100
3100201102002022220020001
41132223212133331010
53131201242302400
6114411540051044
710226211213445
oct1365346377504
9321362286201
10101663244100
113a12a284000
1217852993a84
139782289c52
144cc5cd92cc
1529a027ca6a
hex17ab99ff44

101663244100 has 72 divisors (see below), whose sum is σ = 242653906656. Its totient is φ = 36968404000.

The previous prime is 101663244041. The next prime is 101663244119. The reversal of 101663244100 is 1442366101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 248806 + ... + 515005.

It is an arithmetic number, because the mean of its divisors is an integer number (3370193148).

Almost surely, 2101663244100 is an apocalyptic number.

101663244100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101663244100 is an abundant number, since it is smaller than the sum of its proper divisors (140990662556).

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

101663244100 is a wasteful number, since it uses less digits than its factorization.

101663244100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763858 (or 763829 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The spelling of 101663244100 in words is "one hundred one billion, six hundred sixty-three million, two hundred forty-four thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 1100 1210 1331 2420 2662 3025 5324 6050 6655 12100 13310 26620 33275 66550 133100 763811 1527622 3055244 3819055 7638110 8401921 15276220 16803842 19095275 33607684 38190550 42009605 76381100 84019210 92421131 168038420 184842262 210048025 369684524 420096050 462105655 840192100 924211310 1016632441 1848422620 2033264882 2310528275 4066529764 4621056550 5083162205 9242113100 10166324410 20332648820 25415811025 50831622050 101663244100