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10001320120 = 2351143528611
BaseRepresentation
bin10010101000010000…
…00000100010111000
3221211000020200222201
421110020000202320
5130440314220440
64332230555544
7502561550461
oct112410004270
927730220881
1010001320120
114272536920
121b31508bb4
13c350602cc
146ac3c7d68
153d806e19a
hex2542008b8

10001320120 has 64 divisors (see below), whose sum is σ = 25119642240. Its totient is φ = 3552259200.

The previous prime is 10001320093. The next prime is 10001320129. The reversal of 10001320120 is 2102310001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10001320097 and 10001320106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001320129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 245386 + ... + 283225.

It is an arithmetic number, because the mean of its divisors is an integer number (392494410).

Almost surely, 210001320120 is an apocalyptic number.

10001320120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001320120 is an abundant number, since it is smaller than the sum of its proper divisors (15118322120).

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

10001320120 is a wasteful number, since it uses less digits than its factorization.

10001320120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528676 (or 528672 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 10001320120 its reverse (2102310001), we get a palindrome (12103630121).

The spelling of 10001320120 in words is "ten billion, one million, three hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 43 44 55 86 88 110 172 215 220 344 430 440 473 860 946 1720 1892 2365 3784 4730 9460 18920 528611 1057222 2114444 2643055 4228888 5286110 5814721 10572220 11629442 21144440 22730273 23258884 29073605 45460546 46517768 58147210 90921092 113651365 116294420 181842184 227302730 232588840 250033003 454605460 500066006 909210920 1000132012 1250165015 2000264024 2500330030 5000660060 10001320120