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1010881030320 = 2436576433851
BaseRepresentation
bin11101011010111010011…
…01000110100010110000
310120122021001000001000000
432231131031012202300
5113030241020432240
62052220424430000
7133014400661340
oct16553515064260
93518231001000
101010881030320
1135a791a96037
12143aba018300
137443066a215
1436cd95c8d20
151b466b55430
hexeb5d3468b0

1010881030320 has 560 divisors, whose sum is σ = 4034551272192. Its totient is φ = 230639270400.

The previous prime is 1010881030319. The next prime is 1010881030343. The reversal of 1010881030320 is 230301880101.

1010881030320 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 262496395 + ... + 262500245.

Almost surely, 21010881030320 is an apocalyptic number.

1010881030320 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 1010881030320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2017275636096).

1010881030320 is an abundant number, since it is smaller than the sum of its proper divisors (3023670241872).

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

1010881030320 is an equidigital number, since it uses as much as digits as its factorization.

1010881030320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4532 (or 4511 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 1010881030320 in words is "one trillion, ten billion, eight hundred eighty-one million, thirty thousand, three hundred twenty".