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106613050122 = 23310750336683
BaseRepresentation
bin110001101001010100…
…0100000101100001010
3101012012001021002121000
41203102220200230022
53221320420100442
6120551035355430
710462653655005
oct1432250405412
9335161232530
10106613050122
114123a318587
12187b45b2b76
13a0908c3057
14523545253c
152b8eabbd4c
hex18d2a20b0a

106613050122 has 64 divisors (see below), whose sum is σ = 239614018560. Its totient is φ = 35134606512.

The previous prime is 106613050067. The next prime is 106613050123. The reversal of 106613050122 is 221050316601.

106613050122 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 130 + 501 + 22 = 666.

It is a super-4 number, since 4×1066130501224 (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (106613050123) 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, 2887993 + ... + 2924675.

It is an arithmetic number, because the mean of its divisors is an integer number (3743969040).

Almost surely, 2106613050122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106613050122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119807009280).

106613050122 is an abundant number, since it is smaller than the sum of its proper divisors (133000968438).

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

106613050122 is a wasteful number, since it uses less digits than its factorization.

106613050122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37304 (or 37298 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 106613050122 its reverse (221050316601), we get a palindrome (327663366723).

The spelling of 106613050122 in words is "one hundred six billion, six hundred thirteen million, fifty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 107 214 321 503 642 963 1006 1509 1926 2889 3018 4527 5778 9054 13581 27162 36683 53821 73366 107642 110049 161463 220098 322926 330147 484389 660294 968778 990441 1453167 1980882 2906334 3925081 7850162 11775243 18451549 23550486 35325729 36903098 55354647 70651458 105977187 110709294 166063941 211954374 332127882 498191823 996383646 1974315743 3948631486 5922947229 11845894458 17768841687 35537683374 53306525061 106613050122