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101012302003200 = 2103527434369649
BaseRepresentation
bin10110111101111011000010…
…011000001111110000000000
3111020122200102000010110121220
4112331323002120033300000
5101214441143303100300
6554500224431515040
730163620003166650
oct2675730230176000
9436580360113556
10101012302003200
112a205093106165
12b3b4a3b688a80
13444955acc5b03
141ad304300c360
15ba286605dda0
hex5bdec260fc00

101012302003200 has 528 divisors, whose sum is σ = 390417111110400. Its totient is φ = 22551578542080.

The previous prime is 101012302003163. The next prime is 101012302003237. The reversal of 101012302003200 is 2300203210101.

It is an interprime number because it is at equal distance from previous prime (101012302003163) and next prime (101012302003237).

It is a super-4 number, since 4×1010123020032004 (a number of 57 digits) contains 4444 as substring.

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 101012302003200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20931976 + ... + 25301624.

It is an arithmetic number, because the mean of its divisors is an integer number (739426346800).

Almost surely, 2101012302003200 is an apocalyptic number.

101012302003200 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 101012302003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195208555555200).

101012302003200 is an abundant number, since it is smaller than the sum of its proper divisors (289404809107200).

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

101012302003200 is a wasteful number, since it uses less digits than its factorization.

101012302003200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4369732 (or 4369709 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 101012302003200 its reverse (2300203210101), we get a palindrome (103312505213301).

The spelling of 101012302003200 in words is "one hundred one trillion, twelve billion, three hundred two million, three thousand, two hundred".