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100373511072 = 2533133539463
BaseRepresentation
bin101110101111010111…
…0100011101110100000
3100121002012110200010010
41131132232203232200
53121031104323242
6114035544404520
710152230524032
oct1353656435640
9317065420103
10100373511072
113962825953a
1217552a76740
139608008203
144c028cbc52
152926e1989c
hex175eba3ba0

100373511072 has 96 divisors (see below), whose sum is σ = 265099056768. Its totient is φ = 33252950016.

The previous prime is 100373511041. The next prime is 100373511103. The reversal of 100373511072 is 270115373001.

It is an interprime number because it is at equal distance from previous prime (100373511041) and next prime (100373511103).

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

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, 10602213 + ... + 10611675.

It is an arithmetic number, because the mean of its divisors is an integer number (2761448508).

Almost surely, 2100373511072 is an apocalyptic number.

100373511072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100373511072 is an abundant number, since it is smaller than the sum of its proper divisors (164725545696).

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

100373511072 is a wasteful number, since it uses less digits than its factorization.

100373511072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10142 (or 10134 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 30.

Adding to 100373511072 its reverse (270115373001), we get a palindrome (370488884073).

The spelling of 100373511072 in words is "one hundred billion, three hundred seventy-three million, five hundred eleven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 313 353 626 706 939 1059 1252 1412 1878 2118 2504 2824 3756 4236 5008 5648 7512 8472 9463 10016 11296 15024 16944 18926 28389 30048 33888 37852 56778 75704 110489 113556 151408 220978 227112 302816 331467 441956 454224 662934 883912 908448 1325868 1767824 2651736 2961919 3340439 3535648 5303472 5923838 6680878 8885757 10021317 10606944 11847676 13361756 17771514 20042634 23695352 26723512 35543028 40085268 47390704 53447024 71086056 80170536 94781408 106894048 142172112 160341072 284344224 320682144 1045557407 2091114814 3136672221 4182229628 6273344442 8364459256 12546688884 16728918512 25093377768 33457837024 50186755536 100373511072