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107310001320 = 23325298083337
BaseRepresentation
bin110001111110000101…
…1001010110010101000
3101020222121200212220100
41203330023022302220
53224232330020240
6121144133425400
710516145650464
oct1437413126250
9336877625810
10107310001320
1141567775305
1218969a9b260
13a172105802
14529dc354a4
152bd0d8ae30
hex18fc2caca8

107310001320 has 48 divisors (see below), whose sum is σ = 348757505460. Its totient is φ = 28616000256.

The previous prime is 107310001307. The next prime is 107310001321. The reversal of 107310001320 is 23100013701.

It can be written as a sum of positive squares in 2 ways, for example, as 107309966724 + 34596 = 327582^2 + 186^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 107310001293 and 107310001302.

It is not an unprimeable number, because it can be changed into a prime (107310001321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 149041309 + ... + 149042028.

Almost surely, 2107310001320 is an apocalyptic number.

107310001320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107310001320 is an abundant number, since it is smaller than the sum of its proper divisors (241447504140).

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

107310001320 is a wasteful number, since it uses less digits than its factorization.

107310001320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298083354 (or 298083347 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The spelling of 107310001320 in words is "one hundred seven billion, three hundred ten million, one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 298083337 596166674 894250011 1192333348 1490416685 1788500022 2384666696 2682750033 2980833370 3577000044 4471250055 5365500066 5961666740 7154000088 8942500110 10731000132 11923333480 13413750165 17885000220 21462000264 26827500330 35770000440 53655000660 107310001320