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10144430120 = 2351123399857
BaseRepresentation
bin10010111001010011…
…11011100000101000
3222011222112110000002
421130221323200220
5131233433230440
64354342202132
7506250143006
oct113451734050
928158473002
1010144430120
1143362a2550
121b71423348
13c588b9096
146c33dba76
153e58dc115
hex25ca7b828

10144430120 has 64 divisors (see below), whose sum is σ = 24913137600. Its totient is φ = 3686932480.

The previous prime is 10144430089. The next prime is 10144430137. The reversal of 10144430120 is 2103444101.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10144430092 and 10144430101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1024232 + ... + 1034088.

It is an arithmetic number, because the mean of its divisors is an integer number (389267775).

Almost surely, 210144430120 is an apocalyptic number.

10144430120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10144430120 is an abundant number, since it is smaller than the sum of its proper divisors (14768707480).

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

10144430120 is a wasteful number, since it uses less digits than its factorization.

10144430120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12218 (or 12214 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 10144430120 its reverse (2103444101), we get a palindrome (12247874221).

The spelling of 10144430120 in words is "ten billion, one hundred forty-four million, four hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 2339 4678 9356 9857 11695 18712 19714 23390 25729 39428 46780 49285 51458 78856 93560 98570 102916 108427 128645 197140 205832 216854 257290 394280 433708 514580 542135 867416 1029160 1084270 2168540 4337080 23055523 46111046 92222092 115277615 184444184 230555230 253610753 461110460 507221506 922220920 1014443012 1268053765 2028886024 2536107530 5072215060 10144430120