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107020122 = 231119312753
BaseRepresentation
bin1100110000011…
…11111101011010
321110101012000020
412120033331122
5204344120442
614341451310
72436441006
oct630177532
9243335006
10107020122
1155456890
122ba10b36
1319230c21
14102db706
1595de9ec
hex660ff5a

107020122 has 64 divisors (see below), whose sum is σ = 253808640. Its totient is φ = 29721600.

The previous prime is 107020093. The next prime is 107020139. The reversal of 107020122 is 221020701.

It is a super-2 number, since 2×1070201222 = 22906613025789768, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37498 + ... + 40250.

It is an arithmetic number, because the mean of its divisors is an integer number (3965760).

Almost surely, 2107020122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107020122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126904320).

107020122 is an abundant number, since it is smaller than the sum of its proper divisors (146788518).

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

107020122 is a wasteful number, since it uses less digits than its factorization.

107020122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2819.

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 107020122 is about 10345.0530206471. The cubic root of 107020122 is about 474.7756976064.

Adding to 107020122 its reverse (221020701), we get a palindrome (328040823).

The spelling of 107020122 in words is "one hundred seven million, twenty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 19 22 31 33 38 57 62 66 93 114 186 209 341 418 589 627 682 1023 1178 1254 1767 2046 2753 3534 5506 6479 8259 12958 16518 19437 30283 38874 52307 60566 85343 90849 104614 156921 170686 181698 256029 313842 512058 575377 938773 1150754 1621517 1726131 1877546 2816319 3243034 3452262 4864551 5632638 9729102 17836687 35673374 53510061 107020122