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100213313410 = 25737103137529
BaseRepresentation
bin101110101010100101…
…1011100111110000010
3100120200001000210020101
41131111023130332002
53120214102012120
6114012023033014
710145244052330
oct1352513347602
9316601023211
10100213313410
1139555891681
121750929b76a
1395b0a787b2
144bc950ab50
152917d2390a
hex17552dcf82

100213313410 has 64 divisors (see below), whose sum is σ = 211935813120. Its totient is φ = 33396917760.

The previous prime is 100213313381. The next prime is 100213313419. The reversal of 100213313410 is 14313312001.

It is a super-2 number, since 2×1002133134102 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100213313419) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2651526 + ... + 2689054.

It is an arithmetic number, because the mean of its divisors is an integer number (3311497080).

Almost surely, 2100213313410 is an apocalyptic number.

100213313410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100213313410 is an abundant number, since it is smaller than the sum of its proper divisors (111722499710).

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

100213313410 is a wasteful number, since it uses less digits than its factorization.

100213313410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38611.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 100213313410 its reverse (14313312001), we get a palindrome (114526625411).

The spelling of 100213313410 in words is "one hundred billion, two hundred thirteen million, three hundred thirteen thousand, four hundred ten".

Divisors: 1 2 5 7 10 14 35 37 70 74 185 259 370 518 1031 1295 2062 2590 5155 7217 10310 14434 36085 37529 38147 72170 75058 76294 187645 190735 262703 267029 375290 381470 525406 534058 1313515 1335145 1388573 2627030 2670290 2777146 6942865 9720011 13885730 19440022 38692399 48600055 77384798 97200110 193461995 270846793 386923990 541693586 1354233965 1431618763 2708467930 2863237526 7158093815 10021331341 14316187630 20042662682 50106656705 100213313410