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105722646213 = 31743283716993
BaseRepresentation
bin110001001110110001…
…1111000111011000101
3101002212222210220001110
41202131203320323011
53213004444134323
6120322431115233
710431622444152
oct1423543707305
9332788726043
10105722646213
114092274a988
12185a6372b19
139c7b2a9432
14518d0b3229
152b3b838793
hex189d8f8ec5

105722646213 has 32 divisors (see below), whose sum is σ = 152789383296. Its totient is φ = 64766435328.

The previous prime is 105722646137. The next prime is 105722646217. The reversal of 105722646213 is 312646227501.

It is not a de Polignac number, because 105722646213 - 29 = 105722645701 is a prime.

It is a super-2 number, since 2×1057226462132 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105722646217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6213045 + ... + 6230037.

It is an arithmetic number, because the mean of its divisors is an integer number (4774668228).

Almost surely, 2105722646213 is an apocalyptic number.

It is an amenable number.

105722646213 is a deficient number, since it is larger than the sum of its proper divisors (47066737083).

105722646213 is a wasteful number, since it uses less digits than its factorization.

105722646213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19893.

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 105722646213 in words is "one hundred five billion, seven hundred twenty-two million, six hundred forty-six thousand, two hundred thirteen".

Divisors: 1 3 17 43 51 129 731 2193 2837 8511 16993 48229 50979 121991 144687 288881 365973 730699 866643 2073847 2192097 6221541 12421883 37265649 48209141 144627423 819555397 2072993063 2458666191 6218979189 35240882071 105722646213