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113210320110 = 235311094432521
BaseRepresentation
bin110100101101111011…
…1000110010011101110
3101211012211012010122220
41221123313012103232
53323323320220420
6124001430020210
711115312562206
oct1513367062356
9354184163586
10113210320110
1144015302128
1219b35aa7666
13a8a263cbc4
14569d6d7406
152e28d83840
hex1a5bdc64ee

113210320110 has 128 divisors (see below), whose sum is σ = 283794001920. Its totient is φ = 28870732800.

The previous prime is 113210320103. The next prime is 113210320123. The reversal of 113210320110 is 11023012311.

It is a happy number.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 113210320110.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44905650 + ... + 44908170.

It is an arithmetic number, because the mean of its divisors is an integer number (2217140640).

Almost surely, 2113210320110 is an apocalyptic number.

113210320110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 113210320110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141897000960).

113210320110 is an abundant number, since it is smaller than the sum of its proper divisors (170583681810).

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

113210320110 is a wasteful number, since it uses less digits than its factorization.

113210320110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3114.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 113210320110 its reverse (11023012311), we get a palindrome (124233332421).

The spelling of 113210320110 in words is "one hundred thirteen billion, two hundred ten million, three hundred twenty thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 109 155 186 218 310 327 443 465 545 654 886 930 1090 1329 1635 2215 2521 2658 3270 3379 4430 5042 6645 6758 7563 10137 12605 13290 13733 15126 16895 20274 25210 27466 33790 37815 41199 48287 50685 68665 75630 78151 82398 96574 101370 137330 144861 156302 205995 234453 241435 274789 289722 390755 411990 468906 482870 549578 724305 781510 824367 1116803 1172265 1373945 1448610 1496897 1648734 2233606 2344530 2747890 2993794 3350409 4121835 4490691 5584015 6700818 7484485 8243670 8518459 8981382 11168030 14968970 16752045 17036918 22453455 25555377 33504090 34620893 42592295 44906910 51110754 69241786 85184590 103862679 121731527 127776885 173104465 207725358 243463054 255553770 346208930 365194581 519313395 608657635 730389162 1038626790 1217315270 1825972905 3651945810 3773677337 7547354674 11321032011 18868386685 22642064022 37736773370 56605160055 113210320110