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100202300031 = 3177316321013
BaseRepresentation
bin101110101010010000…
…1011100001001111111
3100120122021022020201110
41131110201130021333
53120203242100111
6114010551013103
710145051332341
oct1352441341177
9316567266643
10100202300031
113954a64a109
121750566a193
1395ab6c08c2
144bc7c81291
152916d9a5a6
hex175485c27f

100202300031 has 48 divisors (see below), whose sum is σ = 144427491936. Its totient is φ = 61569497088.

The previous prime is 100202299979. The next prime is 100202300053. The reversal of 100202300031 is 130003202001.

It is a happy number.

It is not a de Polignac number, because 100202300031 - 214 = 100202283647 is a prime.

It is a super-2 number, since 2×1002023000312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100202310031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98915881 + ... + 98916893.

It is an arithmetic number, because the mean of its divisors is an integer number (3008906082).

Almost surely, 2100202300031 is an apocalyptic number.

100202300031 is a deficient number, since it is larger than the sum of its proper divisors (44225191905).

100202300031 is a wasteful number, since it uses less digits than its factorization.

100202300031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1432 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 100202300031 its reverse (130003202001), we get a palindrome (230205502032).

The spelling of 100202300031 in words is "one hundred billion, two hundred two million, three hundred thousand, thirty-one".

Divisors: 1 3 17 51 73 163 219 489 1013 1241 2771 3039 3723 8313 11899 17221 26569 35697 51663 73949 79707 165119 202283 221847 451673 495357 606849 1257133 1355019 1939537 2807023 3771399 5818611 8421069 12053687 26914397 32972129 36161061 80743191 98916387 204912679 457544749 614738037 1372634247 1964750981 5894252943 33400766677 100202300031