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10302031824 = 2437171803577
BaseRepresentation
bin10011001100000110…
…01000011111010000
3222120222002102220020
421212003020133100
5132044310004244
64422132143440
7513202553130
oct114603103720
928528072806
1010302031824
114407256a97
121bb6167b80
13c8244a026
146da304ac0
1540466dd19
hex2660c87d0

10302031824 has 80 divisors (see below), whose sum is σ = 32204688768. Its totient is φ = 2770292736.

The previous prime is 10302031813. The next prime is 10302031837. The reversal of 10302031824 is 42813020301.

It is a super-2 number, since 2×103020318242 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 10302031794 and 10302031803.

It is a congruent number.

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, 896077 + ... + 907500.

Almost surely, 210302031824 is an apocalyptic number.

10302031824 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10302031824 is an abundant number, since it is smaller than the sum of its proper divisors (21902656944).

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

10302031824 is a wasteful number, since it uses less digits than its factorization.

10302031824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1803612 (or 1803606 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The spelling of 10302031824 in words is "ten billion, three hundred two million, thirty-one thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 68 84 102 112 119 136 168 204 238 272 336 357 408 476 714 816 952 1428 1904 2856 5712 1803577 3607154 5410731 7214308 10821462 12625039 14428616 21642924 25250078 28857232 30660809 37875117 43285848 50500156 61321618 75750234 86571696 91982427 101000312 122643236 151500468 183964854 202000624 214625663 245286472 303000936 367929708 429251326 490572944 606001872 643876989 735859416 858502652 1287753978 1471718832 1717005304 2575507956 3434010608 5151015912 10302031824