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112413015220 = 225111314618461
BaseRepresentation
bin110100010110001010…
…1100111110010110100
3101202011020220211222011
41220230111213302310
53320210212441340
6123350345014004
711056461602152
oct1505425476264
9352136824864
10112413015220
1143746242170
1219952a84304
13a7a63c196c
1456258703d2
152dcdd900ea
hex1a2c567cb4

112413015220 has 96 divisors (see below), whose sum is σ = 260087490432. Its totient is φ = 40472640000.

The previous prime is 112413015179. The next prime is 112413015233. The reversal of 112413015220 is 22510314211.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 112413015191 and 112413015200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13281790 + ... + 13290250.

It is an arithmetic number, because the mean of its divisors is an integer number (2709244692).

Almost surely, 2112413015220 is an apocalyptic number.

112413015220 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 112413015220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130043745216).

112413015220 is an abundant number, since it is smaller than the sum of its proper divisors (147674475212).

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

112413015220 is a wasteful number, since it uses less digits than its factorization.

112413015220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9073 (or 9071 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

Adding to 112413015220 its reverse (22510314211), we get a palindrome (134923329431).

The spelling of 112413015220 in words is "one hundred twelve billion, four hundred thirteen million, fifteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 131 220 262 461 524 655 922 1310 1441 1844 2305 2620 2882 4610 5071 5764 7205 8461 9220 10142 14410 16922 20284 25355 28820 33844 42305 50710 60391 84610 93071 101420 120782 169220 186142 241564 301955 372284 465355 603910 664301 930710 1108391 1207820 1328602 1861420 2216782 2657204 3321505 3900521 4433564 5541955 6643010 7801042 11083910 12192301 13286020 15602084 19502605 22167820 24384602 39005210 42905731 48769204 60961505 78010420 85811462 121923010 171622924 214528655 243846020 429057310 510968251 858114620 1021936502 2043873004 2554841255 5109682510 5620650761 10219365020 11241301522 22482603044 28103253805 56206507610 112413015220