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10031220400 = 245237966169
BaseRepresentation
bin10010101011110100…
…00100011010110000
3221220002111210110111
421111322010122300
5131020443023100
64335215511104
7503403652345
oct112572043260
927802453414
1010031220400
1142883a93a3
121b3b528494
13c3b2cba96
146b236c7cc
153da9c86ba
hex255e846b0

10031220400 has 60 divisors (see below), whose sum is σ = 24163960600. Its totient is φ = 4001840640.

The previous prime is 10031220383. The next prime is 10031220421. The reversal of 10031220400 is 402213001.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 118516 + ... + 184684.

Almost surely, 210031220400 is an apocalyptic number.

10031220400 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 10031220400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12081980300).

10031220400 is an abundant number, since it is smaller than the sum of its proper divisors (14132740200).

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

10031220400 is a wasteful number, since it uses less digits than its factorization.

10031220400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66566 (or 66555 counting only the distinct ones).

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

Adding to 10031220400 its reverse (402213001), we get a palindrome (10433433401).

The spelling of 10031220400 in words is "ten billion, thirty-one million, two hundred twenty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 379 400 758 1516 1895 3032 3790 6064 7580 9475 15160 18950 30320 37900 66169 75800 132338 151600 264676 330845 529352 661690 1058704 1323380 1654225 2646760 3308450 5293520 6616900 13233800 25078051 26467600 50156102 100312204 125390255 200624408 250780510 401248816 501561020 626951275 1003122040 1253902550 2006244080 2507805100 5015610200 10031220400