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100420210401 = 3725501124183
BaseRepresentation
bin101110110000110000…
…0101100111011100001
3100121012110100020112220
41131201200230323201
53121130033213101
6114044333341253
710153335463500
oct1354140547341
9317173306486
10100420210401
1139651655425
1217566637829
1396148a9154
144c08ba6837
15292b091636
hex176182cee1

100420210401 has 24 divisors (see below), whose sum is σ = 155783363904. Its totient is φ = 57372084000.

The previous prime is 100420210381. The next prime is 100420210421. The reversal of 100420210401 is 104012024001.

It is an interprime number because it is at equal distance from previous prime (100420210381) and next prime (100420210421).

It is not a de Polignac number, because 100420210401 - 27 = 100420210273 is a prime.

It is a super-3 number, since 3×1004202104013 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (100420210421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 746556 + ... + 870738.

It is an arithmetic number, because the mean of its divisors is an integer number (6490973496).

Almost surely, 2100420210401 is an apocalyptic number.

It is an amenable number.

100420210401 is a deficient number, since it is larger than the sum of its proper divisors (55363153503).

100420210401 is a wasteful number, since it uses less digits than its factorization.

100420210401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129701 (or 129694 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 100420210401 its reverse (104012024001), we get a palindrome (204432234402).

The spelling of 100420210401 in words is "one hundred billion, four hundred twenty million, two hundred ten thousand, four hundred one".

Divisors: 1 3 7 21 49 147 5501 16503 38507 115521 124183 269549 372549 808647 869281 2607843 6084967 18254901 683130683 2049392049 4781914781 14345744343 33473403467 100420210401