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10024402120 = 2351671997541
BaseRepresentation
bin10010101011000000…
…00011110011001000
3221212121200101112121
421111200003303020
5131012221331440
64334413421024
7503262004105
oct112540036310
927777611477
1010024402120
114284571757
121b3919a774
13c39a824b5
146b14b5aac
153da0cd34a
hex255803cc8

10024402120 has 64 divisors (see below), whose sum is σ = 22807008000. Its totient is φ = 3965195520.

The previous prime is 10024402081. The next prime is 10024402159. The reversal of 10024402120 is 2120442001.

It is an interprime number because it is at equal distance from previous prime (10024402081) and next prime (10024402159).

It is a junction number, because it is equal to n+sod(n) for n = 10024402094 and 10024402103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1325550 + ... + 1333090.

It is an arithmetic number, because the mean of its divisors is an integer number (356359500).

Almost surely, 210024402120 is an apocalyptic number.

10024402120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10024402120 is an abundant number, since it is smaller than the sum of its proper divisors (12782605880).

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

10024402120 is a wasteful number, since it uses less digits than its factorization.

10024402120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7918 (or 7914 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 10024402120 its reverse (2120442001), we get a palindrome (12144844121).

The spelling of 10024402120 in words is "ten billion, twenty-four million, four hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 167 199 334 398 668 796 835 995 1336 1592 1670 1990 3340 3980 6680 7541 7960 15082 30164 33233 37705 60328 66466 75410 132932 150820 166165 265864 301640 332330 664660 1259347 1329320 1500659 2518694 3001318 5037388 6002636 6296735 7503295 10074776 12005272 12593470 15006590 25186940 30013180 50373880 60026360 250610053 501220106 1002440212 1253050265 2004880424 2506100530 5012201060 10024402120