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10213002100 = 2252771205493
BaseRepresentation
bin10011000001011111…
…00000101101110100
3222100202120021002001
421200233200231310
5131404012031400
64405232025044
7511042041220
oct114057405564
928322507061
1010213002100
114370a78704
121b90392184
13c69b77912
146cc56b780
153eb934a6a
hex260be0b74

10213002100 has 72 divisors (see below), whose sum is σ = 25685106048. Its totient is φ = 3452265600.

The previous prime is 10213002083. The next prime is 10213002101. The reversal of 10213002100 is 120031201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10213002101) 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, 53047 + ... + 152446.

It is an arithmetic number, because the mean of its divisors is an integer number (356737584).

Almost surely, 210213002100 is an apocalyptic number.

10213002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10213002100 is an abundant number, since it is smaller than the sum of its proper divisors (15472103948).

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

10213002100 is a wasteful number, since it uses less digits than its factorization.

10213002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205585 (or 205578 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 10213002100 its reverse (120031201), we get a palindrome (10333033301).

The spelling of 10213002100 in words is "ten billion, two hundred thirteen million, two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 71 100 140 142 175 284 350 355 497 700 710 994 1420 1775 1988 2485 3550 4970 7100 9940 12425 24850 49700 205493 410986 821972 1027465 1438451 2054930 2876902 4109860 5137325 5753804 7192255 10274650 14384510 14590003 20549300 28769020 29180006 35961275 58360012 71922550 72950015 102130021 143845100 145900030 204260042 291800060 364750075 408520084 510650105 729500150 1021300210 1459000300 2042600420 2553250525 5106501050 10213002100