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112330312020 = 223252297613581
BaseRepresentation
bin110100010011101101…
…0001000100101010100
3101201221111022002111200
41220213122020211110
53320023024441040
6123334232232500
711054435620023
oct1504732104524
9351844262450
10112330312020
1143703595013
121992b23b730
13a792226064
1456188a28ba
152dc69a5630
hex1a27688954

112330312020 has 144 divisors (see below), whose sum is σ = 342768600720. Its totient is φ = 29776435200.

The previous prime is 112330312009. The next prime is 112330312027. The reversal of 112330312020 is 20213033211.

112330312020 is a `hidden beast` number, since 1 + 1 + 2 + 330 + 312 + 0 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 247307076 + 112083004944 = 15726^2 + 334788^2 .

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 = 112330311984 and 112330312002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112330312027) 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, 31366630 + ... + 31370210.

It is an arithmetic number, because the mean of its divisors is an integer number (2380337505).

Almost surely, 2112330312020 is an apocalyptic number.

112330312020 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 112330312020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171384300360).

112330312020 is an abundant number, since it is smaller than the sum of its proper divisors (230438288700).

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

112330312020 is a wasteful number, since it uses less digits than its factorization.

112330312020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4586 (or 4581 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 112330312020 its reverse (20213033211), we get a palindrome (132543345231).

The spelling of 112330312020 in words is "one hundred twelve billion, three hundred thirty million, three hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 229 458 687 761 916 1145 1374 1522 2061 2283 2290 2748 3044 3435 3581 3805 4122 4566 4580 6849 6870 7162 7610 8244 9132 10305 10743 11415 13698 13740 14324 15220 17905 20610 21486 22830 27396 32229 34245 35810 41220 42972 45660 53715 64458 68490 71620 107430 128916 136980 161145 174269 214860 322290 348538 522807 644580 697076 820049 871345 1045614 1568421 1640098 1742690 2091228 2460147 2614035 2725141 3136842 3280196 3485380 4100245 4920294 5228070 5450282 6273684 7380441 7842105 8175423 8200490 9840588 10456140 10900564 12300735 13625705 14760882 15684210 16350846 16400980 24526269 24601470 27251410 29521764 31368420 32701692 36902205 40877115 49052538 49202940 54502820 73804410 81754230 98105076 122631345 147608820 163508460 245262690 490525380 624057289 1248114578 1872171867 2496229156 3120286445 3744343734 5616515601 6240572890 7488687468 9360859335 11233031202 12481145780 18721718670 22466062404 28082578005 37443437340 56165156010 112330312020