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10204033000 = 235376721757
BaseRepresentation
bin10011000000011010…
…10010111111101000
3222100010200120210011
421200031102333220
5131344213024000
64404311501304
7510602564230
oct114015227750
928303616704
1010204033000
114366a02027
121b89387834
13c68057365
146cb2b4cc0
153eac622ba
hex260352fe8

10204033000 has 128 divisors (see below), whose sum is σ = 27697063680. Its totient is φ = 3446150400.

The previous prime is 10204032991. The next prime is 10204033027. The reversal of 10204033000 is 33040201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 458122 + ... + 479878.

It is an arithmetic number, because the mean of its divisors is an integer number (216383310).

Almost surely, 210204033000 is an apocalyptic number.

10204033000 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 10204033000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13848531840).

10204033000 is an abundant number, since it is smaller than the sum of its proper divisors (17493030680).

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

10204033000 is a wasteful number, since it uses less digits than its factorization.

10204033000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21852 (or 21838 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 10204033000 its reverse (33040201), we get a palindrome (10237073201).

The spelling of 10204033000 in words is "ten billion, two hundred four million, thirty-three thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 67 70 100 125 134 140 175 200 250 268 280 335 350 469 500 536 670 700 875 938 1000 1340 1400 1675 1750 1876 2345 2680 3350 3500 3752 4690 6700 7000 8375 9380 11725 13400 16750 18760 21757 23450 33500 43514 46900 58625 67000 87028 93800 108785 117250 152299 174056 217570 234500 304598 435140 469000 543925 609196 761495 870280 1087850 1218392 1457719 1522990 2175700 2719625 2915438 3045980 3807475 4351400 5439250 5830876 6091960 7288595 7614950 10204033 10878500 11661752 14577190 15229900 19037375 20408066 21757000 29154380 30459800 36442975 38074750 40816132 51020165 58308760 72885950 76149500 81632264 102040330 145771900 152299000 182214875 204080660 255100825 291543800 364429750 408161320 510201650 728859500 1020403300 1275504125 1457719000 2040806600 2551008250 5102016500 10204033000