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10213122010 = 2571388712653
BaseRepresentation
bin10011000001011111…
…11101111111011010
3222100202210100120011
421200233331333122
5131404024401020
64405234352134
7511043050630
oct114057757732
928322710504
1010213122010
11437104a803
121b9042b64a
13c69bba380
146cc59d350
153eb95a35a
hex260bfdfda

10213122010 has 64 divisors (see below), whose sum is σ = 22653292032. Its totient is φ = 3228385536.

The previous prime is 10213121993. The next prime is 10213122037. The reversal of 10213122010 is 1022131201.

It is a super-2 number, since 2×102131220102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 800844 + ... + 813496.

It is an arithmetic number, because the mean of its divisors is an integer number (353957688).

Almost surely, 210213122010 is an apocalyptic number.

10213122010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10213122010 is an abundant number, since it is smaller than the sum of its proper divisors (12440170022).

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

10213122010 is a wasteful number, since it uses less digits than its factorization.

10213122010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13567.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 10213122010 its reverse (1022131201), we get a palindrome (11235253211).

The spelling of 10213122010 in words is "ten billion, two hundred thirteen million, one hundred twenty-two thousand, ten".

Divisors: 1 2 5 7 10 13 14 26 35 65 70 91 130 182 455 887 910 1774 4435 6209 8870 11531 12418 12653 23062 25306 31045 57655 62090 63265 80717 88571 115310 126530 161434 164489 177142 328978 403585 442855 807170 822445 885710 1151423 1644890 2302846 5757115 11223211 11514230 22446422 56116055 78562477 112232110 145901743 157124954 291803486 392812385 729508715 785624770 1021312201 1459017430 2042624402 5106561005 10213122010