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112222630120 = 23541509134437
BaseRepresentation
bin110100010000011111…
…1010111000011101000
3101201122222200021201011
41220200333113003220
53314312443130440
6123315424233304
711051660421436
oct1504077270350
9351588607634
10112222630120
1143658827007
12198bb16b834
13a775b22b63
145608471d56
152dbc2d49ea
hex1a20fd70e8

112222630120 has 64 divisors (see below), whose sum is σ = 259169576400. Its totient is φ = 43707832320.

The previous prime is 112222630021. The next prime is 112222630127. The reversal of 112222630120 is 21036222211.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 46689702084 + 65532928036 = 216078^2 + 255994^2 .

It is a super-2 number, since 2×1122226301202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112222630091 and 112222630100.

It is not an unprimeable number, because it can be changed into a prime (112222630127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 767542 + ... + 901978.

Almost surely, 2112222630120 is an apocalyptic number.

112222630120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112222630120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129584788200).

112222630120 is an abundant number, since it is smaller than the sum of its proper divisors (146946946280).

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

112222630120 is a wasteful number, since it uses less digits than its factorization.

112222630120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134998 (or 134994 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 112222630120 its reverse (21036222211), we get a palindrome (133258852331).

The spelling of 112222630120 in words is "one hundred twelve billion, two hundred twenty-two million, six hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 509 820 1018 1640 2036 2545 4072 5090 10180 20360 20869 41738 83476 104345 134437 166952 208690 268874 417380 537748 672185 834760 1075496 1344370 2688740 5377480 5511917 11023834 22047668 27559585 44095336 55119170 68428433 110238340 136856866 220476680 273713732 342142165 547427464 684284330 1368568660 2737137320 2805565753 5611131506 11222263012 14027828765 22444526024 28055657530 56111315060 112222630120