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113202180 = 223257136911
BaseRepresentation
bin1101011111101…
…01010000000100
321220000021012100
412233311100010
5212434432210
615122152100
72543126340
oct657652004
9256007170
10113202180
1158999523
1231ab2630
131a5b6a50
141106a620
159e115c0
hex6bf5404

113202180 has 144 divisors (see below), whose sum is σ = 422682624. Its totient is φ = 23880960.

The previous prime is 113202169. The next prime is 113202191. The reversal of 113202180 is 81202311.

It is an interprime number because it is at equal distance from previous prime (113202169) and next prime (113202191).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12925 + ... + 19835.

It is an arithmetic number, because the mean of its divisors is an integer number (2935296).

Almost surely, 2113202180 is an apocalyptic number.

113202180 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 113202180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211341312).

113202180 is an abundant number, since it is smaller than the sum of its proper divisors (309480444).

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

113202180 is a wasteful number, since it uses less digits than its factorization.

113202180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6946 (or 6941 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 113202180 is about 10639.6513100759. The cubic root of 113202180 is about 483.7469763247.

Adding to 113202180 its reverse (81202311), we get a palindrome (194404491).

The spelling of 113202180 in words is "one hundred thirteen million, two hundred two thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 13 14 15 18 20 21 26 28 30 35 36 39 42 45 52 60 63 65 70 78 84 90 91 105 117 126 130 140 156 180 182 195 210 234 252 260 273 315 364 390 420 455 468 546 585 630 780 819 910 1092 1170 1260 1365 1638 1820 2340 2730 3276 4095 5460 6911 8190 13822 16380 20733 27644 34555 41466 48377 62199 69110 82932 89843 96754 103665 124398 138220 145131 179686 193508 207330 241885 248796 269529 290262 310995 359372 414660 435393 449215 483770 539058 580524 621990 628901 725655 808587 870786 898430 967540 1078116 1243980 1257802 1347645 1451310 1617174 1741572 1796860 1886703 2176965 2515604 2695290 2902620 3144505 3234348 3773406 4042935 4353930 5390580 5660109 6289010 7546812 8085870 8707860 9433515 11320218 12578020 16171740 18867030 22640436 28300545 37734060 56601090 113202180