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101422196832 = 25311115383299
BaseRepresentation
bin101111001110100111…
…0111110100001100000
3100200210021202102112110
41132131032332201200
53130203040244312
6114332005355320
710220223306645
oct1363516764140
9320707672473
10101422196832
113a016205690
12177a6108b40
139744360528
144ca1caddcc
15298901643c
hex179d3be860

101422196832 has 96 divisors (see below), whose sum is σ = 290691676800. Its totient is φ = 30706974720.

The previous prime is 101422196803. The next prime is 101422196891. The reversal of 101422196832 is 238691224101.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1175919 + ... + 1259217.

It is an arithmetic number, because the mean of its divisors is an integer number (3028038300).

Almost surely, 2101422196832 is an apocalyptic number.

101422196832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101422196832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145345838400).

101422196832 is an abundant number, since it is smaller than the sum of its proper divisors (189269479968).

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

101422196832 is a wasteful number, since it uses less digits than its factorization.

101422196832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84476 (or 84468 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 101422196832 in words is "one hundred one billion, four hundred twenty-two million, one hundred ninety-six thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 1153 2306 3459 4612 6918 9224 12683 13836 18448 25366 27672 36896 38049 50732 55344 76098 83299 101464 110688 152196 166598 202928 249897 304392 333196 405856 499794 608784 666392 916289 999588 1217568 1332784 1832578 1999176 2665568 2748867 3665156 3998352 5497734 7330312 7996704 10995468 14660624 21990936 29321248 43981872 87963744 96043747 192087494 288131241 384174988 576262482 768349976 1056481217 1152524964 1536699952 2112962434 2305049928 3073399904 3169443651 4225924868 4610099856 6338887302 8451849736 9220199712 12677774604 16903699472 25355549208 33807398944 50711098416 101422196832