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10002021112020 = 22357174343974209
BaseRepresentation
bin1001000110001100011011…
…1010100101100011010100
31022102011222001022101022010
42101203012322211203110
52302333114401041040
633134510504304220
72051423256456210
oct221430672454324
938364861271263
1010002021112020
113206919190433
121156560772070
13577256ab51b2
14268159721940
151252975c5e80
hex918c6ea58d4

10002021112020 has 384 divisors, whose sum is σ = 34756781875200. Its totient is φ = 2096840245248.

The previous prime is 10002021112007. The next prime is 10002021112021. The reversal of 10002021112020 is 2021112020001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10002021111987 and 10002021112005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002021112021) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 134744676 + ... + 134818884.

It is an arithmetic number, because the mean of its divisors is an integer number (90512452800).

Almost surely, 210002021112020 is an apocalyptic number.

10002021112020 is a gapful number since it is divisible by the number (10) 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 10002021112020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17378390937600).

10002021112020 is an abundant number, since it is smaller than the sum of its proper divisors (24754760763180).

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

10002021112020 is a wasteful number, since it uses less digits than its factorization.

10002021112020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74727 (or 74725 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10002021112020 its reverse (2021112020001), we get a palindrome (12023133132021).

The spelling of 10002021112020 in words is "ten trillion, two billion, twenty-one million, one hundred twelve thousand, twenty".