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10213133535 = 3351138317957
BaseRepresentation
bin10011000001100000…
…00000110011011111
3222100202210221101000
421200300000303133
5131404030233120
64405234521343
7511043126343
oct114060006337
928322727330
1010213133535
114371058430
121b90436253
13c69bc26a7
146cc5a3623
153eb95d990
hex260c00cdf

10213133535 has 64 divisors (see below), whose sum is σ = 19860111360. Its totient is φ = 4938618240.

The previous prime is 10213133533. The next prime is 10213133573. The reversal of 10213133535 is 53533131201.

10213133535 is a `hidden beast` number, since 102 + 13 + 13 + 3 + 535 = 666.

It is not a de Polignac number, because 10213133535 - 21 = 10213133533 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10213133499 and 10213133508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10213133533) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 559777 + ... + 577733.

It is an arithmetic number, because the mean of its divisors is an integer number (310314240).

Almost surely, 210213133535 is an apocalyptic number.

10213133535 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10213133535 is a deficient number, since it is larger than the sum of its proper divisors (9646977825).

10213133535 is a wasteful number, since it uses less digits than its factorization.

10213133535 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18365 (or 18359 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 27.

Adding to 10213133535 its reverse (53533131201), we get a palindrome (63746264736).

The spelling of 10213133535 in words is "ten billion, two hundred thirteen million, one hundred thirty-three thousand, five hundred thirty-five".

Divisors: 1 3 5 9 11 15 27 33 45 55 99 135 165 297 383 495 1149 1485 1915 3447 4213 5745 10341 12639 17235 17957 21065 37917 51705 53871 63195 89785 113751 161613 189585 197527 269355 484839 568755 592581 808065 987635 1777743 2424195 2962905 5333229 6877531 8888715 20632593 26666145 34387655 61897779 75652841 103162965 185693337 226958523 309488895 378264205 680875569 928466685 1134792615 2042626707 3404377845 10213133535