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21310210100 = 22522017105653
BaseRepresentation
bin10011110110001100…
…000000000000110100
32001000010220211121202
4103312030000000310
5322120403210400
613442331432032
71353041540264
oct236614000064
961003824552
1021310210100
119046070293
1241688b5618
132017c78c9a
1410623037a4
1584acc64d5
hex4f6300034

21310210100 has 36 divisors (see below), whose sum is σ = 46266520524. Its totient is φ = 8519777280.

The previous prime is 21310210081. The next prime is 21310210109. The reversal of 21310210100 is 101201312.

It can be written as a sum of positive squares in 6 ways, for example, as 1733723044 + 19576487056 = 41638^2 + 139916^2 .

It is a super-2 number, since 2×213102101002 (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 (21310210109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 148874 + ... + 254526.

Almost surely, 221310210100 is an apocalyptic number.

21310210100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21310210100 is an abundant number, since it is smaller than the sum of its proper divisors (24956310424).

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

21310210100 is a wasteful number, since it uses less digits than its factorization.

21310210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107684 (or 107677 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 21310210100 its reverse (101201312), we get a palindrome (21411411412).

The spelling of 21310210100 in words is "twenty-one billion, three hundred ten million, two hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2017 4034 8068 10085 20170 40340 50425 100850 105653 201700 211306 422612 528265 1056530 2113060 2641325 5282650 10565300 213102101 426204202 852408404 1065510505 2131021010 4262042020 5327552525 10655105050 21310210100