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103660640244 = 22337294728181
BaseRepresentation
bin110000010001010100…
…1111101011111110100
3100220120021210010122000
41200202221331133310
53144244110441434
6115342051135300
710326543622020
oct1404251753764
9326507703560
10103660640244
113aa64802317
121810b8a4530
139a10032065
1450352b7380
152a6a7c8b99
hex1822a7d7f4

103660640244 has 96 divisors (see below), whose sum is σ = 317733830400. Its totient is φ = 28596032640.

The previous prime is 103660640231. The next prime is 103660640351. The reversal of 103660640244 is 442046066301.

103660640244 is a `hidden beast` number, since 1 + 0 + 3 + 6 + 6 + 0 + 640 + 2 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 103660640199 and 103660640208.

It is a congruent number.

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, 2342167 + ... + 2386014.

It is an arithmetic number, because the mean of its divisors is an integer number (3309727400).

Almost surely, 2103660640244 is an apocalyptic number.

103660640244 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

103660640244 is an abundant number, since it is smaller than the sum of its proper divisors (214073190156).

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

103660640244 is a wasteful number, since it uses less digits than its factorization.

103660640244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4728230 (or 4728222 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 103660640244 in words is "one hundred three billion, six hundred sixty million, six hundred forty thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 29 36 42 54 58 63 84 87 108 116 126 174 189 203 252 261 348 378 406 522 609 756 783 812 1044 1218 1566 1827 2436 3132 3654 5481 7308 10962 21924 4728181 9456362 14184543 18912724 28369086 33097267 42553629 56738172 66194534 85107258 99291801 127660887 132389068 137117249 170214516 198583602 255321774 274234498 297875403 397167204 411351747 510643548 548468996 595750806 822703494 893626209 959820743 1191501612 1234055241 1645406988 1787252418 1919641486 2468110482 2879462229 3574504836 3702165723 3839282972 4936220964 5758924458 7404331446 8638386687 11517848916 14808662892 17276773374 25915160061 34553546748 51830320122 103660640244