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10131210003222 = 23271152114030087
BaseRepresentation
bin1001001101101101101100…
…1011000110001100010110
31022212112102110000000211100
42103123123023012030112
52311442204230100342
633314114050450530
72063645554101660
oct223333313061426
938775373000740
1010131210003222
113256692a21510
1211775b5893a46
135864a4917699
142704d31ad530
1512880911ae4c
hex936db2c6316

10131210003222 has 96 divisors (see below), whose sum is σ = 27419955024384. Its totient is φ = 2626432099200.

The previous prime is 10131210003199. The next prime is 10131210003253. The reversal of 10131210003222 is 22230001213101.

10131210003222 is a `hidden beast` number, since 1 + 0 + 131 + 210 + 0 + 0 + 322 + 2 = 666.

10131210003222 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×101312100032222 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10131210003195 and 10131210003204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6292938 + ... + 7737149.

It is an arithmetic number, because the mean of its divisors is an integer number (285624531504).

Almost surely, 210131210003222 is an apocalyptic number.

10131210003222 is an abundant number, since it is smaller than the sum of its proper divisors (17288745021162).

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

10131210003222 is a wasteful number, since it uses less digits than its factorization.

10131210003222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14030634 (or 14030631 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10131210003222 its reverse (22230001213101), we get a palindrome (32361211216323).

The spelling of 10131210003222 in words is "ten trillion, one hundred thirty-one billion, two hundred ten million, three thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 521 693 1042 1386 1563 3126 3647 4689 5731 7294 9378 10941 11462 17193 21882 32823 34386 40117 51579 65646 80234 103158 120351 240702 361053 722106 14030087 28060174 42090261 84180522 98210609 126270783 154330957 196421218 252541566 294631827 308661914 462992871 589263654 883895481 925985742 1080316699 1388978613 1767790962 2160633398 2777957226 3240950097 6481900194 7309675327 9722850291 14619350654 19445700582 21929025981 43858051962 51167727289 65787077943 80406428597 102335454578 131574155886 153503181867 160812857194 241219285791 307006363734 460509545601 482438571582 562845000179 723657857373 921019091202 1125690000358 1447315714746 1688535000537 3377070001074 5065605001611 10131210003222