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116007485100 = 2235213231293283
BaseRepresentation
bin110110000001010010…
…1011011111010101100
3102002102202112211200020
41230002211123322230
53400040404010400
6125143151002140
711244526232163
oct1540245337254
9362382484606
10116007485100
1145220223631
121a596809350
13ac29cb6910
145886dc03da
15303e70d2a0
hex1b0295beac

116007485100 has 144 divisors (see below), whose sum is σ = 377183692032. Its totient is φ = 27314115840.

The previous prime is 116007485059. The next prime is 116007485107. The reversal of 116007485100 is 1584700611.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (116007485107) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 556942 + ... + 736341.

Almost surely, 2116007485100 is an apocalyptic number.

116007485100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

116007485100 is an abundant number, since it is smaller than the sum of its proper divisors (261176206932).

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

116007485100 is a wasteful number, since it uses less digits than its factorization.

116007485100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1293336 (or 1293329 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 33.

The spelling of 116007485100 in words is "one hundred sixteen billion, seven million, four hundred eighty-five thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 23 25 26 30 39 46 50 52 60 65 69 75 78 92 100 115 130 138 150 156 195 230 260 276 299 300 325 345 390 460 575 598 650 690 780 897 975 1150 1196 1300 1380 1495 1725 1794 1950 2300 2990 3450 3588 3900 4485 5980 6900 7475 8970 14950 17940 22425 29900 44850 89700 1293283 2586566 3879849 5173132 6466415 7759698 12932830 15519396 16812679 19399245 25865660 29745509 32332075 33625358 38798490 50438037 59491018 64664150 67250716 77596980 84063395 89236527 96996225 100876074 118982036 129328300 148727545 168126790 178473054 193992450 201752148 252190185 297455090 336253580 356946108 386691617 387984900 420316975 446182635 504380370 594910180 743637725 773383234 840633950 892365270 1008760740 1160074851 1260950925 1487275450 1546766468 1681267900 1784730540 1933458085 2230913175 2320149702 2521901850 2974550900 3866916170 4461826350 4640299404 5043803700 5800374255 7733832340 8923652700 9667290425 11600748510 19334580850 23201497020 29001871275 38669161700 58003742550 116007485100