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20400213020 = 22511102190821
BaseRepresentation
bin10010111111111100…
…101000110000011100
31221122201121012022012
4102333330220300130
5313234423304040
613212143210352
71321351643465
oct227774506034
957581535265
1020400213020
11871942aa90
123b53ba69b8
131c01592185
14db7503d6c
157e5e72865
hex4bff28c1c

20400213020 has 48 divisors (see below), whose sum is σ = 46781322336. Its totient is φ = 7410912000.

The previous prime is 20400212971. The next prime is 20400213157. The reversal of 20400213020 is 2031200402.

It is a super-2 number, since 2×204002130202 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20400212986 and 20400213004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 179210 + ... + 270030.

It is an arithmetic number, because the mean of its divisors is an integer number (974610882).

Almost surely, 220400213020 is an apocalyptic number.

20400213020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20400213020 is an abundant number, since it is smaller than the sum of its proper divisors (26381109316).

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

20400213020 is a wasteful number, since it uses less digits than its factorization.

20400213020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91862 (or 91860 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 20400213020 its reverse (2031200402), we get a palindrome (22431413422).

The spelling of 20400213020 in words is "twenty billion, four hundred million, two hundred thirteen thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 1021 2042 4084 5105 10210 11231 20420 22462 44924 56155 90821 112310 181642 224620 363284 454105 908210 999031 1816420 1998062 3996124 4995155 9990310 19980620 92728241 185456482 370912964 463641205 927282410 1020010651 1854564820 2040021302 4080042604 5100053255 10200106510 20400213020