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100210122020 = 22517294735653
BaseRepresentation
bin101110101010011111…
…1010001110100100100
3100120122211000122110202
41131110333101310210
53120212242401040
6114011430410032
710145204661101
oct1352477216444
9316584018422
10100210122020
1139554001968
1217508200918
1395b01cbcb8
144bc8d19aa8
1529178e3015
hex1754fd1d24

100210122020 has 24 divisors (see below), whose sum is σ = 222820154424. Its totient is φ = 37726163456.

The previous prime is 100210122013. The next prime is 100210122053. The reversal of 100210122020 is 20221012001.

It is a happy number.

100210122020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 26124903424 + 74085218596 = 161632^2 + 272186^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100210121992 and 100210122010.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 147367487 + ... + 147368166.

It is an arithmetic number, because the mean of its divisors is an integer number (9284173101).

Almost surely, 2100210122020 is an apocalyptic number.

100210122020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100210122020 is an abundant number, since it is smaller than the sum of its proper divisors (122610032404).

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

100210122020 is a wasteful number, since it uses less digits than its factorization.

100210122020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294735679 (or 294735677 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 100210122020 its reverse (20221012001), we get a palindrome (120431134021).

The spelling of 100210122020 in words is "one hundred billion, two hundred ten million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 294735653 589471306 1178942612 1473678265 2947356530 5010506101 5894713060 10021012202 20042024404 25052530505 50105061010 100210122020