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10020101172 = 22317263186761
BaseRepresentation
bin10010101010011111…
…01001110000110100
3221212022120212202020
421111033221300310
5131010121214142
64334141313140
7503210311644
oct112517516064
927768525666
1010020101172
1142820a4354
121b378657b0
13c38c07963
146b0ab6524
153d9a2dcec
hex2553e9c34

10020101172 has 48 divisors (see below), whose sum is σ = 24849804672. Its totient is φ = 3131591680.

The previous prime is 10020101171. The next prime is 10020101173. The reversal of 10020101172 is 27110102001.

10020101172 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10020101171) and next prime (10020101173).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10020101171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39729 + ... + 147032.

It is an arithmetic number, because the mean of its divisors is an integer number (517704264).

Almost surely, 210020101172 is an apocalyptic number.

10020101172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10020101172 is an abundant number, since it is smaller than the sum of its proper divisors (14829703500).

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

10020101172 is a wasteful number, since it uses less digits than its factorization.

10020101172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187048 (or 187046 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 15.

Adding to 10020101172 its reverse (27110102001), we get a palindrome (37130203173).

The spelling of 10020101172 in words is "ten billion, twenty million, one hundred one thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 263 526 789 1052 1578 3156 4471 8942 13413 17884 26826 53652 186761 373522 560283 747044 1120566 2241132 3174937 6349874 9524811 12699748 19049622 38099244 49118143 98236286 147354429 196472572 294708858 589417716 835008431 1670016862 2505025293 3340033724 5010050586 10020101172