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107217310440 = 23357312239419
BaseRepresentation
bin110001111011010100…
…1100101001011101000
3101020202011021200220210
41203312221211023220
53224040112413230
6121131023021120
710513642046622
oct1436651451350
9336664250823
10107217310440
114151a416279
1218942a3a7a0
13a158b50b36
1452917c7c12
152bc7b7beb0
hex18f6a652e8

107217310440 has 64 divisors (see below), whose sum is σ = 326058148800. Its totient is φ = 28199619072.

The previous prime is 107217310397. The next prime is 107217310451. The reversal of 107217310440 is 44013712701.

It is a super-2 number, since 2×1072173104402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 107217310398 and 107217310407.

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 15 ways as a sum of consecutive naturals, for example, 6110950 + ... + 6128469.

It is an arithmetic number, because the mean of its divisors is an integer number (5094658575).

Almost surely, 2107217310440 is an apocalyptic number.

107217310440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107217310440 is an abundant number, since it is smaller than the sum of its proper divisors (218840838360).

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

107217310440 is a wasteful number, since it uses less digits than its factorization.

107217310440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12239506 (or 12239502 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The spelling of 107217310440 in words is "one hundred seven billion, two hundred seventeen million, three hundred ten thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 73 120 146 219 292 365 438 584 730 876 1095 1460 1752 2190 2920 4380 8760 12239419 24478838 36718257 48957676 61197095 73436514 97915352 122394190 146873028 183591285 244788380 293746056 367182570 489576760 734365140 893477587 1468730280 1786955174 2680432761 3573910348 4467387935 5360865522 7147820696 8934775870 10721731044 13402163805 17869551740 21443462088 26804327610 35739103480 53608655220 107217310440