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107345951141 = 112132328110559
BaseRepresentation
bin110001111111001010…
…0010011100110100101
3101021002010100022210012
41203332110103212211
53224321030414031
6121151500140005
710520063346452
oct1437624234645
9337063308705
10107345951141
1141585a99a00
1218979b37605
13a1796b19b0
1452a4912829
152bd40dcb2b
hex18fe5139a5

107345951141 has 48 divisors (see below), whose sum is σ = 133077288960. Its totient is φ = 85849209600.

The previous prime is 107345951131. The next prime is 107345951143. The reversal of 107345951141 is 141159543701.

It is not a de Polignac number, because 107345951141 - 218 = 107345688997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107345951143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10161020 + ... + 10171578.

It is an arithmetic number, because the mean of its divisors is an integer number (2772443520).

Almost surely, 2107345951141 is an apocalyptic number.

107345951141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

107345951141 is a deficient number, since it is larger than the sum of its proper divisors (25731337819).

107345951141 is a wasteful number, since it uses less digits than its factorization.

107345951141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10898 (or 10887 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 41.

The spelling of 107345951141 in words is "one hundred seven billion, three hundred forty-five million, nine hundred fifty-one thousand, one hundred forty-one".

Divisors: 1 11 13 23 121 143 253 281 299 1573 2783 3091 3289 3653 6463 10559 34001 36179 40183 71093 84019 116149 137267 242857 442013 782023 924209 1277639 1509937 2671427 2967079 3157141 10166299 16609307 29385697 32637869 34728551 38572027 68242817 359016559 382014061 424292297 750670987 887156621 4667215267 8257380857 9758722831 107345951141