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100007819850 = 23523718019427
BaseRepresentation
bin101110100100011101…
…1100011101001001010
3100120010201100122001210
41131020323203221022
53114304000213400
6113535402353550
710140200304621
oct1351073435112
9316121318053
10100007819850
113945a897294
12174704bb8b6
13957a319b83
144baa0d86b8
152904c81950
hex1748ee3a4a

100007819850 has 48 divisors (see below), whose sum is σ = 254722634208. Its totient is φ = 25947973440.

The previous prime is 100007819833. The next prime is 100007819903. The reversal of 100007819850 is 58918700001.

It is a junction number, because it is equal to n+sod(n) for n = 100007819799 and 100007819808.

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 23 ways as a sum of consecutive naturals, for example, 9004164 + ... + 9015263.

It is an arithmetic number, because the mean of its divisors is an integer number (5306721546).

Almost surely, 2100007819850 is an apocalyptic number.

100007819850 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100007819850 is an abundant number, since it is smaller than the sum of its proper divisors (154714814358).

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

100007819850 is a wasteful number, since it uses less digits than its factorization.

100007819850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18019479 (or 18019474 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 39.

The spelling of 100007819850 in words is "one hundred billion, seven million, eight hundred nineteen thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 37 50 74 75 111 150 185 222 370 555 925 1110 1850 2775 5550 18019427 36038854 54058281 90097135 108116562 180194270 270291405 450485675 540582810 666718799 900971350 1333437598 1351457025 2000156397 2702914050 3333593995 4000312794 6667187990 10000781985 16667969975 20001563970 33335939950 50003909925 100007819850