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20101333131 = 32113127124169
BaseRepresentation
bin10010101110001000…
…100000000010001011
31220212220012112011200
4102232020200002023
5312131420130011
613122345155243
71311062340525
oct225610400213
956786175150
1020101333131
118585751110
123a8ba8bb23
131b84697179
14d89942a15
157c9ad5856
hex4ae22008b

20101333131 has 48 divisors (see below), whose sum is σ = 32818606080. Its totient is φ = 11745648000.

The previous prime is 20101333079. The next prime is 20101333139. The reversal of 20101333131 is 13133310102.

It is a happy number.

20101333131 is a `hidden beast` number, since 201 + 0 + 1 + 333 + 131 = 666.

It is not a de Polignac number, because 20101333131 - 26 = 20101333067 is a prime.

It is a super-2 number, since 2×201013331312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20101333139) 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, 819615 + ... + 843783.

It is an arithmetic number, because the mean of its divisors is an integer number (683720960).

Almost surely, 220101333131 is an apocalyptic number.

20101333131 is a deficient number, since it is larger than the sum of its proper divisors (12717272949).

20101333131 is a wasteful number, since it uses less digits than its factorization.

20101333131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24488 (or 24485 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 20101333131 its reverse (13133310102), we get a palindrome (33234643233).

The spelling of 20101333131 in words is "twenty billion, one hundred one million, three hundred thirty-three thousand, one hundred thirty-one".

Divisors: 1 3 9 11 31 33 93 99 271 279 341 813 1023 2439 2981 3069 8401 8943 24169 25203 26829 72507 75609 92411 217521 265859 277233 749239 797577 831699 2247717 2392731 6549799 6743151 8241629 19649397 24724887 58948191 72047789 74174661 203043769 216143367 609131307 648430101 1827393921 2233481459 6700444377 20101333131