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10380102720 = 263513831739
BaseRepresentation
bin10011010101011001…
…11100110001000000
3222210101222212000220
421222230330301000
5132224301241340
64434001343040
7515141263101
oct115254746100
928711885026
1010380102720
11444732a899
122018337a80
13c95683320
147068283a8
1540b440ed0
hex26ab3cc40

10380102720 has 112 divisors (see below), whose sum is σ = 35492009280. Its totient is φ = 2555099136.

The previous prime is 10380102679. The next prime is 10380102721. The reversal of 10380102720 is 2720108301.

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

It is not an unprimeable number, because it can be changed into a prime (10380102721) 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, 403390 + ... + 428349.

It is an arithmetic number, because the mean of its divisors is an integer number (316892940).

Almost surely, 210380102720 is an apocalyptic number.

10380102720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10380102720 is an abundant number, since it is smaller than the sum of its proper divisors (25111906560).

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

10380102720 is a wasteful number, since it uses less digits than its factorization.

10380102720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831772 (or 831762 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The spelling of 10380102720 in words is "ten billion, three hundred eighty million, one hundred two thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 130 156 160 192 195 208 240 260 312 320 390 416 480 520 624 780 832 960 1040 1248 1560 2080 2496 3120 4160 6240 12480 831739 1663478 2495217 3326956 4158695 4990434 6653912 8317390 9980868 10812607 12476085 13307824 16634780 19961736 21625214 24952170 26615648 32437821 33269560 39923472 43250428 49904340 53231296 54063035 64875642 66539120 79846944 86500856 99808680 108126070 129751284 133078240 159693888 162189105 173001712 199617360 216252140 259502568 266156480 324378210 346003424 399234720 432504280 519005136 648756420 692006848 798469440 865008560 1038010272 1297512840 1730017120 2076020544 2595025680 3460034240 5190051360 10380102720