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107001726016120 = 235132010110236931
BaseRepresentation
bin11000010101000101000111…
…110111101001101001111000
3112000212021011021002012122221
4120111011013313221221320
5103011104013330003440
61015323525254453424
731352422343251435
oct3025050767515170
9460767137065587
10107001726016120
11311041a4896a21
1210001799664274
1347922b1229690
141c5cca8382b8c
15c585617b0d4a
hex615147de9a78

107001726016120 has 64 divisors (see below), whose sum is σ = 259286336900640. Its totient is φ = 39506360256000.

The previous prime is 107001726016109. The next prime is 107001726016121. The reversal of 107001726016120 is 21610627100701.

It is a super-2 number, since 2×1070017260161202 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107001726016121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5334055 + ... + 15570985.

Almost surely, 2107001726016120 is an apocalyptic number.

107001726016120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107001726016120 is an abundant number, since it is smaller than the sum of its proper divisors (152284610884520).

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

107001726016120 is a wasteful number, since it uses less digits than its factorization.

107001726016120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10257056 (or 10257052 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 34.

The spelling of 107001726016120 in words is "one hundred seven trillion, one billion, seven hundred twenty-six million, sixteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 20101 40202 80404 100505 160808 201010 261313 402020 522626 804040 1045252 1306565 2090504 2613130 5226260 10236931 10452520 20473862 40947724 51184655 81895448 102369310 133080103 204738620 266160206 409477240 532320412 665400515 1064640824 1330801030 2661602060 5323204120 205772550031 411545100062 823090200124 1028862750155 1646180400248 2057725500310 2675043150403 4115451000620 5350086300806 8230902001240 10700172601612 13375215752015 21400345203224 26750431504030 53500863008060 107001726016120