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10022031400 = 235250110157
BaseRepresentation
bin10010101010101110…
…00001000000101000
3221212110012221112011
421111113001000220
5131011120001100
64334250525304
7503232601303
oct112527010050
927773187464
1010022031400
1142831a2587
121b38436834
13c394323c4
146b1059b3a
153d9cb0bba
hex2555c1028

10022031400 has 24 divisors (see below), whose sum is σ = 23301223470. Its totient is φ = 4008812480.

The previous prime is 10022031361. The next prime is 10022031407. The reversal of 10022031400 is 413022001.

It can be written as a sum of positive squares in 3 ways, for example, as 6335841604 + 3686189796 = 79598^2 + 60714^2 .

It is a super-2 number, since 2×100220314002 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10022031407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25054879 + ... + 25055278.

Almost surely, 210022031400 is an apocalyptic number.

10022031400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10022031400 is an abundant number, since it is smaller than the sum of its proper divisors (13279192070).

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

10022031400 is a wasteful number, since it uses less digits than its factorization.

10022031400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50110173 (or 50110164 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 10022031400 its reverse (413022001), we get a palindrome (10435053401).

The spelling of 10022031400 in words is "ten billion, twenty-two million, thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 50110157 100220314 200440628 250550785 400881256 501101570 1002203140 1252753925 2004406280 2505507850 5011015700 10022031400