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10212003131 = 111929258099
BaseRepresentation
bin10011000001010111…
…01100110100111011
3222100200200111202012
421200223230310323
5131403233100011
64405154400135
7511030410611
oct114053546473
928320614665
1010212003131
114370456110
121b8bb9004b
13c698b8005
146cc38b6b1
153eb7d8a8b
hex260aecd3b

10212003131 has 24 divisors (see below), whose sum is σ = 12145224000. Its totient is φ = 8491603680.

The previous prime is 10212003121. The next prime is 10212003133. The reversal of 10212003131 is 13130021201.

It is a de Polignac number, because none of the positive numbers 2k-10212003131 is a prime.

It is a super-2 number, since 2×102120031312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10212003133) 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, 146720 + ... + 204818.

It is an arithmetic number, because the mean of its divisors is an integer number (506051000).

Almost surely, 210212003131 is an apocalyptic number.

10212003131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10212003131 is a deficient number, since it is larger than the sum of its proper divisors (1933220869).

10212003131 is a wasteful number, since it uses less digits than its factorization.

10212003131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58187 (or 58158 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 10212003131 its reverse (13130021201), we get a palindrome (23342024332).

The spelling of 10212003131 in words is "ten billion, two hundred twelve million, three thousand, one hundred thirty-one".

Divisors: 1 11 19 29 209 319 551 841 6061 9251 15979 58099 175769 639089 1103881 1684871 12142691 18533581 32012549 48861259 352138039 537473849 928363921 10212003131