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10231312011021 = 3229101388123061
BaseRepresentation
bin1001010011100010100110…
…1101111100111100001101
31100020002210201120220110200
42110320221231330330031
52320112211333323041
633432111100124113
72104121310114213
oct224705155747415
940202721526420
1010231312011021
11329509099a582
121192a91836639
13592a685c176a
142752ab9c4cb3
1512b2172a51b6
hex94e29b7cf0d

10231312011021 has 24 divisors (see below), whose sum is σ = 15439535406360. Its totient is φ = 6520467408000.

The previous prime is 10231312010999. The next prime is 10231312011043. The reversal of 10231312011021 is 12011021313201.

10231312011021 is a `hidden beast` number, since 10 + 231 + 312 + 0 + 110 + 2 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (10231312010999) and next prime (10231312011043).

It can be written as a sum of positive squares in 4 ways, for example, as 3820515888996 + 6410796122025 = 1954614^2 + 2531955^2 .

It is not a de Polignac number, because 10231312011021 - 25 = 10231312010989 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10231312010985 and 10231312011003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10231312011091) 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, 194035170 + ... + 194087891.

It is an arithmetic number, because the mean of its divisors is an integer number (643313975265).

Almost surely, 210231312011021 is an apocalyptic number.

It is an amenable number.

10231312011021 is a deficient number, since it is larger than the sum of its proper divisors (5208223395339).

10231312011021 is a wasteful number, since it uses less digits than its factorization.

10231312011021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388123197 (or 388123194 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 10231312011021 its reverse (12011021313201), we get a palindrome (22242333324222).

The spelling of 10231312011021 in words is "ten trillion, two hundred thirty-one billion, three hundred twelve million, eleven thousand, twenty-one".

Divisors: 1 3 9 29 87 101 261 303 909 2929 8787 26361 388123061 1164369183 3493107549 11255568769 33766706307 39200429161 101300118921 117601287483 352803862449 1136812445669 3410437337007 10231312011021