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20101012120 = 2357402717827
BaseRepresentation
bin10010101110000111…
…010001101010011000
31220212212121012211101
4102232013101222120
5312131324341440
613122334241144
71311056532610
oct225607215230
956785535741
1020101012120
118585551a12
123a8b9561b4
131b845b4017
14d8989ba40
157c9a7069a
hex4ae1d1a98

20101012120 has 64 divisors (see below), whose sum is σ = 51704052480. Its totient is φ = 6889677696.

The previous prime is 20101012111. The next prime is 20101012207. The reversal of 20101012120 is 2121010102.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 20101012097 and 20101012106.

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, 1118647 + ... + 1136473.

It is an arithmetic number, because the mean of its divisors is an integer number (807875820).

Almost surely, 220101012120 is an apocalyptic number.

20101012120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20101012120 is an abundant number, since it is smaller than the sum of its proper divisors (31603040360).

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

20101012120 is a wasteful number, since it uses less digits than its factorization.

20101012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21872 (or 21868 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 20101012120 its reverse (2121010102), we get a palindrome (22222022222).

The spelling of 20101012120 in words is "twenty billion, one hundred one million, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 4027 8054 16108 17827 20135 28189 32216 35654 40270 56378 71308 80540 89135 112756 124789 140945 142616 161080 178270 225512 249578 281890 356540 499156 563780 623945 713080 998312 1127560 1247890 2495780 4991560 71789329 143578658 287157316 358946645 502525303 574314632 717893290 1005050606 1435786580 2010101212 2512626515 2871573160 4020202424 5025253030 10050506060 20101012120