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10022630013 = 35112714801
BaseRepresentation
bin10010101010110010…
…10011001001111101
3221212111100100200000
421111121103021331
5131011243130023
64334311424513
7503240643444
oct112531231175
927774310600
1010022630013
114283571300
121b38685139
13c395b1a06
146b1173d5b
153d9d7d243
hex25565327d

10022630013 has 72 divisors (see below), whose sum is σ = 16738158528. Its totient is φ = 5987520000.

The previous prime is 10022629997. The next prime is 10022630053. The reversal of 10022630013 is 31003622001.

10022630013 is a `hidden beast` number, since 1 + 0 + 0 + 22 + 630 + 0 + 13 = 666.

It is not a de Polignac number, because 10022630013 - 24 = 10022629997 is a prime.

It is a super-2 number, since 2×100226300132 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022630053) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2085213 + ... + 2090013.

It is an arithmetic number, because the mean of its divisors is an integer number (232474424).

Almost surely, 210022630013 is an apocalyptic number.

It is an amenable number.

10022630013 is a deficient number, since it is larger than the sum of its proper divisors (6715528515).

10022630013 is an equidigital number, since it uses as much as digits as its factorization.

10022630013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4909 (or 4886 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The spelling of 10022630013 in words is "ten billion, twenty-two million, six hundred thirty thousand, thirteen".

Divisors: 1 3 9 11 27 33 71 81 99 121 213 243 297 363 639 781 891 1089 1917 2343 2673 3267 4801 5751 7029 8591 9801 14403 17253 21087 25773 29403 43209 52811 63261 77319 129627 158433 189783 231957 340871 388881 475299 580921 695871 1022613 1166643 1425897 1742763 2087613 3067839 3749581 4277691 5228289 9203517 11248743 12833073 15684867 27610551 33746229 41245391 47054601 82831653 101238687 123736173 141163803 303716061 371208519 911148183 1113625557 3340876671 10022630013