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112131322020 = 2232531199100981
BaseRepresentation
bin110100001101110001…
…1000011000010100100
3101201102121212100112200
41220123203003002210
53314121104301040
6123302403214500
711046501340164
oct1503343030244
9351377770480
10112131322020
1143611231973
1219894677430
13a75cc336b3
1455da2a45a4
152db429a630
hex1a1b8c30a4

112131322020 has 144 divisors (see below), whose sum is σ = 352871500800. Its totient is φ = 28791417600.

The previous prime is 112131322001. The next prime is 112131322081. The reversal of 112131322020 is 20223131211.

112131322020 is a `hidden beast` number, since 112 + 1 + 313 + 220 + 20 = 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 = 112131321984 and 112131322002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1059930 + ... + 1160910.

Almost surely, 2112131322020 is an apocalyptic number.

112131322020 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 112131322020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176435750400).

112131322020 is an abundant number, since it is smaller than the sum of its proper divisors (240740178780).

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

112131322020 is a wasteful number, since it uses less digits than its factorization.

112131322020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101226 (or 101221 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 112131322020 its reverse (20223131211), we get a palindrome (132354453231).

The spelling of 112131322020 in words is "one hundred twelve billion, one hundred thirty-one million, three hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 199 279 310 372 398 465 558 597 620 796 930 995 1116 1194 1395 1791 1860 1990 2388 2790 2985 3582 3980 5580 5970 6169 7164 8955 11940 12338 17910 18507 24676 30845 35820 37014 55521 61690 74028 92535 100981 111042 123380 185070 201962 222084 277605 302943 370140 403924 504905 555210 605886 908829 1009810 1110420 1211772 1514715 1817658 2019620 3029430 3130411 3635316 4544145 6058860 6260822 9088290 9391233 12521644 15652055 18176580 18782466 20095219 28173699 31304110 37564932 40190438 46956165 56347398 60285657 62608220 80380876 93912330 100476095 112694796 120571314 140868495 180856971 187824660 200952190 241142628 281736990 301428285 361713942 401904380 563473980 602856570 622951789 723427884 904284855 1205713140 1245903578 1808569710 1868855367 2491807156 3114758945 3617139420 3737710734 5606566101 6229517890 7475421468 9344276835 11213132202 12459035780 18688553670 22426264404 28032830505 37377107340 56065661010 112131322020