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107226361066317 = 31731672713735301
BaseRepresentation
bin11000011000010110010101…
…001010010111001101001101
3112001122201222110120002221220
4120120112111022113031031
5103023244041413110232
61020015035451313553
731404564120546303
oct3030262512271515
9461581873502856
10107226361066317
1131190498488a39
121003922b44b8b9
1347aa53029331c
141c69ad816c273
15c5e30c86942c
hex61859529734d

107226361066317 has 64 divisors (see below), whose sum is σ = 159179087904768. Its totient is φ = 63900524160000.

The previous prime is 107226361066309. The next prime is 107226361066333. The reversal of 107226361066317 is 713660163622701.

It is not a de Polignac number, because 107226361066317 - 23 = 107226361066309 is a prime.

It is a super-2 number, since 2×1072263610663172 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 107226361066317.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107226361056317) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26838567 + ... + 30573867.

It is an arithmetic number, because the mean of its divisors is an integer number (2487173248512).

Almost surely, 2107226361066317 is an apocalyptic number.

107226361066317 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

107226361066317 is a deficient number, since it is larger than the sum of its proper divisors (51952726838451).

107226361066317 is a wasteful number, since it uses less digits than its factorization.

107226361066317 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3735690.

The product of its (nonzero) digits is 2286144, while the sum is 51.

The spelling of 107226361066317 in words is "one hundred seven trillion, two hundred twenty-six billion, three hundred sixty-one million, sixty-six thousand, three hundred seventeen".

Divisors: 1 3 17 31 51 67 93 201 271 527 813 1139 1581 2077 3417 4607 6231 8401 13821 18157 25203 35309 54471 105927 142817 308669 428451 562867 926007 1688601 3735301 9568739 11205903 28706217 63500117 115794331 190500351 250265167 347382993 750795501 1012266571 1968503627 3036799713 4254507839 5905510881 7758220177 12763523517 17208531707 23274660531 31380263701 51625595121 67821860257 94140791103 131889743009 203465580771 395669229027 533464482917 1152971624369 1600393448751 2102477667967 3458914873107 6307433003901 35742120355439 107226361066317