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110212211220 = 223531591004303
BaseRepresentation
bin110011010100100101…
…0001110001000010100
3101112110212201102102220
41212221022032020110
53301203311224340
6122344130102340
710651106224026
oct1465112161024
9345425642386
10110212211220
1142816a13591
1219439a1a9b0
13a51546b387
145497464016
152d00a64ed0
hex19a928e214

110212211220 has 96 divisors (see below), whose sum is σ = 323948298240. Its totient is φ = 27959767680.

The previous prime is 110212211177. The next prime is 110212211227. The reversal of 110212211220 is 22112212011.

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 110212211220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110212211227) 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, 392412 + ... + 611891.

It is an arithmetic number, because the mean of its divisors is an integer number (3374461440).

Almost surely, 2110212211220 is an apocalyptic number.

110212211220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110212211220 is an abundant number, since it is smaller than the sum of its proper divisors (213736087020).

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

110212211220 is a wasteful number, since it uses less digits than its factorization.

110212211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004405 (or 1004403 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 110212211220 its reverse (22112212011), we get a palindrome (132324423231).

The spelling of 110212211220 in words is "one hundred ten billion, two hundred twelve million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 59 60 62 93 118 124 155 177 186 236 295 310 354 372 465 590 620 708 885 930 1180 1770 1829 1860 3540 3658 5487 7316 9145 10974 18290 21948 27435 36580 54870 109740 1004303 2008606 3012909 4017212 5021515 6025818 10043030 12051636 15064545 20086060 30129090 31133393 59253877 60258180 62266786 93400179 118507754 124533572 155666965 177761631 186800358 237015508 296269385 311333930 355523262 373600716 467000895 592538770 622667860 711046524 888808155 934001790 1185077540 1777616310 1836870187 1868003580 3555232620 3673740374 5510610561 7347480748 9184350935 11021221122 18368701870 22042442244 27553052805 36737403740 55106105610 110212211220