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110113121220 = 223529157403079
BaseRepresentation
bin110011010001101000…
…0001110001111000100
3101112012222021010111220
41212203100032033010
53301002424334340
6122330230200340
710645464041634
oct1464320161704
9345188233456
10110113121220
1142775a93823
12194107b30b0
13a4caa85b3b
14548822c6c4
152ce6edeed0
hex19a340e3c4

110113121220 has 96 divisors (see below), whose sum is σ = 320980665600. Its totient is φ = 28170315264.

The previous prime is 110113121219. The next prime is 110113121221. The reversal of 110113121220 is 22121311011.

It is an interprime number because it is at equal distance from previous prime (110113121219) and next prime (110113121221).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 110113121220.

It is not an unprimeable number, because it can be changed into a prime (110113121221) 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, 71641 + ... + 474719.

It is an arithmetic number, because the mean of its divisors is an integer number (3343548600).

Almost surely, 2110113121220 is an apocalyptic number.

110113121220 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 110113121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160490332800).

110113121220 is an abundant number, since it is smaller than the sum of its proper divisors (210867544380).

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

110113121220 is a wasteful number, since it uses less digits than its factorization.

110113121220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403277 (or 403275 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 110113121220 its reverse (22121311011), we get a palindrome (132234432231).

The spelling of 110113121220 in words is "one hundred ten billion, one hundred thirteen million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 157 174 290 314 348 435 471 580 628 785 870 942 1570 1740 1884 2355 3140 4553 4710 9106 9420 13659 18212 22765 27318 45530 54636 68295 91060 136590 273180 403079 806158 1209237 1612316 2015395 2418474 4030790 4836948 6046185 8061580 11689291 12092370 23378582 24184740 35067873 46757164 58446455 63283403 70135746 116892910 126566806 140271492 175339365 189850209 233785820 253133612 316417015 350678730 379700418 632834030 701357460 759400836 949251045 1265668060 1835218687 1898502090 3670437374 3797004180 5505656061 7340874748 9176093435 11011312122 18352186870 22022624244 27528280305 36704373740 55056560610 110113121220