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2101310022120 = 23352937131124577
BaseRepresentation
bin11110100100111111110…
…101100110000111101000
321102212211220112012201120
4132210333311212013220
5233411440331201440
64245154542215240
7304546264325031
oct36447765460750
97385756465646
102101310022120
117401847a99a1
1229b2b8584520
131231ca5aa71a
14739bd8bda88
15399d7236dd0
hex1e93fd661e8

2101310022120 has 256 divisors, whose sum is σ = 6748739078400. Its totient is φ = 522382049280.

The previous prime is 2101310022101. The next prime is 2101310022131. The reversal of 2101310022120 is 212200131012.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2101310022120.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16805272 + ... + 16929848.

It is an arithmetic number, because the mean of its divisors is an integer number (26362262025).

Almost surely, 22101310022120 is an apocalyptic number.

2101310022120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101310022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3374369539200).

2101310022120 is an abundant number, since it is smaller than the sum of its proper divisors (4647429056280).

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

2101310022120 is a wasteful number, since it uses less digits than its factorization.

2101310022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124788 (or 124784 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 2101310022120 its reverse (212200131012), we get a palindrome (2313510153132).

The spelling of 2101310022120 in words is "two trillion, one hundred one billion, three hundred ten million, twenty-two thousand, one hundred twenty".