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112131122220 = 2232513411168763
BaseRepresentation
bin110100001101110001…
…0010010010000101100
3101201102121111012110200
41220123202102100230
53314121031402340
6123302355033500
711046466545525
oct1503342222054
9351377435420
10112131122220
1143611105847
121989459b890
13a75cb93780
1455da25184c
152db425b330
hex1a1b89242c

112131122220 has 144 divisors (see below), whose sum is σ = 375229344672. Its totient is φ = 26928276480.

The previous prime is 112131122197. The next prime is 112131122221. The reversal of 112131122220 is 22221131211.

112131122220 is a `hidden beast` number, since 112 + 1 + 311 + 22 + 220 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 112131122193 and 112131122202.

It is not an unprimeable number, because it can be changed into a prime (112131122221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 488442 + ... + 680321.

It is an arithmetic number, because the mean of its divisors is an integer number (2605759338).

Almost surely, 2112131122220 is an apocalyptic number.

112131122220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112131122220 is an abundant number, since it is smaller than the sum of its proper divisors (263098222452).

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

112131122220 is a wasteful number, since it uses less digits than its factorization.

112131122220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168832 (or 1168827 counting only the distinct ones).

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

Adding to 112131122220 its reverse (22221131211), we get a palindrome (134352253431).

The spelling of 112131122220 in words is "one hundred twelve billion, one hundred thirty-one million, one hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 41 45 52 60 65 78 82 90 117 123 130 156 164 180 195 205 234 246 260 369 390 410 468 492 533 585 615 738 780 820 1066 1170 1230 1476 1599 1845 2132 2340 2460 2665 3198 3690 4797 5330 6396 7380 7995 9594 10660 15990 19188 23985 31980 47970 95940 1168763 2337526 3506289 4675052 5843815 7012578 10518867 11687630 14025156 15193919 17531445 21037734 23375260 30387838 35062890 42075468 45581757 47919283 52594335 60775676 70125780 75969595 91163514 95838566 105188670 136745271 143757849 151939190 182327028 191677132 210377340 227908785 239596415 273490542 287515698 303878380 431273547 455817570 479192830 546981084 575031396 622950679 683726355 718789245 862547094 911635140 958385660 1245901358 1367452710 1437578490 1725094188 1868852037 2156367735 2491802716 2734905420 2875156980 3114753395 3737704074 4312735470 5606556111 6229506790 7475408148 8625470940 9344260185 11213112222 12459013580 18688520370 22426224444 28032780555 37377040740 56065561110 112131122220