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10024111320 = 23354117311777
BaseRepresentation
bin10010101010111101…
…11100110011011000
3221212121010121122020
421111132330303120
5131012133030240
64334403254440
7503256353226
oct112536746330
927777117566
1010024111320
114284393223
121b3907a420
13c399b0022
146b143bb16
153da0720d0
hex2557bccd8

10024111320 has 128 divisors (see below), whose sum is σ = 30986504640. Its totient is φ = 2592604160.

The previous prime is 10024111313. The next prime is 10024111439. The reversal of 10024111320 is 2311142001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10024111320.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 845272 + ... + 857048.

Almost surely, 210024111320 is an apocalyptic number.

10024111320 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 10024111320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15493252320).

10024111320 is an abundant number, since it is smaller than the sum of its proper divisors (20962393320).

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

10024111320 is a wasteful number, since it uses less digits than its factorization.

10024111320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12005 (or 12001 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10024111320 its reverse (2311142001), we get a palindrome (12335253321).

The spelling of 10024111320 in words is "ten billion, twenty-four million, one hundred eleven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 164 173 205 246 328 346 410 492 519 615 692 820 865 984 1038 1230 1384 1640 1730 2076 2460 2595 3460 4152 4920 5190 6920 7093 10380 11777 14186 20760 21279 23554 28372 35331 35465 42558 47108 56744 58885 70662 70930 85116 94216 106395 117770 141324 141860 170232 176655 212790 235540 282648 283720 353310 425580 471080 482857 706620 851160 965714 1413240 1448571 1931428 2037421 2414285 2897142 3862856 4074842 4828570 5794284 6112263 7242855 8149684 9657140 10187105 11588568 12224526 14485710 16299368 19314280 20374210 24449052 28971420 30561315 40748420 48898104 57942840 61122630 81496840 83534261 122245260 167068522 244490520 250602783 334137044 417671305 501205566 668274088 835342610 1002411132 1253013915 1670685220 2004822264 2506027830 3341370440 5012055660 10024111320