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107100007341 = 337418922971
BaseRepresentation
bin110001110111110101…
…0000110101110101101
3101020102222120002022120
41203233222012232231
53223320100213331
6121111232503153
710511016020235
oct1435752065655
9336388502276
10107100007341
114146a186768
121890b6aaab9
13a13a75c612
14527ddb0cc5
152bbc70a796
hex18efa86bad

107100007341 has 48 divisors (see below), whose sum is σ = 151994689728. Its totient is φ = 66991795200.

The previous prime is 107100007331. The next prime is 107100007349. The reversal of 107100007341 is 143700001701.

It is not a de Polignac number, because 107100007341 - 214 = 107099990957 is a prime.

It is a super-2 number, since 2×1071000073412 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107100007349) 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, 36046986 + ... + 36049956.

It is an arithmetic number, because the mean of its divisors is an integer number (3166556036).

Almost surely, 2107100007341 is an apocalyptic number.

It is an amenable number.

107100007341 is a deficient number, since it is larger than the sum of its proper divisors (44894682387).

107100007341 is an equidigital number, since it uses as much as digits as its factorization.

107100007341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3230 (or 3141 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 24.

The spelling of 107100007341 in words is "one hundred seven billion, one hundred million, seven thousand, three hundred forty-one".

Divisors: 1 3 37 41 89 111 123 267 1517 2971 3293 3649 4551 7921 8913 9879 10947 23763 109927 121811 135013 264419 293077 324761 329781 365433 405039 793257 879231 974283 4507007 9783503 10841179 12016157 13521021 23533291 29350509 32523537 36048471 70599873 401123623 870731767 964864931 1203370869 2612195301 2894594793 35700002447 107100007341