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106622110710 = 23254327550933
BaseRepresentation
bin110001101001100101…
…1000100101111110110
3101012012200022102101100
41203103023010233312
53221330230020320
6120552001510530
710463123662503
oct1432313045766
9335180272340
10106622110710
1141244446975
12187b7642446
13a09274614b
1452367304aa
152b907ab790
hex18d32c4bf6

106622110710 has 48 divisors (see below), whose sum is σ = 283664416464. Its totient is φ = 27771339456.

The previous prime is 106622110687. The next prime is 106622110717. The reversal of 106622110710 is 17011226601.

It is a happy number.

106622110710 is a `hidden beast` number, since 10 + 6 + 622 + 1 + 10 + 7 + 10 = 666.

It is a super-2 number, since 2×1066221107102 (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 (106622110717) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13771597 + ... + 13779336.

It is an arithmetic number, because the mean of its divisors is an integer number (5909675343).

Almost surely, 2106622110710 is an apocalyptic number.

106622110710 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106622110710 is an abundant number, since it is smaller than the sum of its proper divisors (177042305754).

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

106622110710 is a wasteful number, since it uses less digits than its factorization.

106622110710 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27550989 (or 27550986 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The spelling of 106622110710 in words is "one hundred six billion, six hundred twenty-two million, one hundred ten thousand, seven hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 43 45 86 90 129 215 258 387 430 645 774 1290 1935 3870 27550933 55101866 82652799 137754665 165305598 247958397 275509330 413263995 495916794 826527990 1184690119 1239791985 2369380238 2479583970 3554070357 5923450595 7108140714 10662211071 11846901190 17770351785 21324422142 35540703570 53311055355 106622110710