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112302331020 = 223251161929809
BaseRepresentation
bin110100010010110111…
…1011001010010001100
3101201212112122111210100
41220211233121102030
53314443344043040
6123331352411100
711053646030535
oct1504557312214
9351775574710
10112302331020
1143699813520
12199219a6a90
13a7894aa059
145614c9b68c
152dc42c9b30
hex1a25bd948c

112302331020 has 144 divisors (see below), whose sum is σ = 377711137440. Its totient is φ = 26778470400.

The previous prime is 112302331013. The next prime is 112302331027. The reversal of 112302331020 is 20133203211.

112302331020 is a `hidden beast` number, since 1 + 12 + 302 + 331 + 0 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (112302331013) and next prime (112302331027).

It is a super-2 number, since 2×1123023310202 (a number of 23 digits) contains 22 as substring.

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 = 112302330984 and 112302331002.

It is not an unprimeable number, because it can be changed into a prime (112302331027) 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, 344125 + ... + 585684.

It is an arithmetic number, because the mean of its divisors is an integer number (2622994010).

Almost surely, 2112302331020 is an apocalyptic number.

112302331020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112302331020 is an abundant number, since it is smaller than the sum of its proper divisors (265408806420).

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

112302331020 is a wasteful number, since it uses less digits than its factorization.

112302331020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 929896 (or 929891 counting only the distinct ones).

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

Adding to 112302331020 its reverse (20133203211), we get a palindrome (132435534231).

The spelling of 112302331020 in words is "one hundred twelve billion, three hundred two million, three hundred thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 61 66 90 99 110 122 132 165 180 183 198 220 244 305 330 366 396 495 549 610 660 671 732 915 990 1098 1220 1342 1830 1980 2013 2196 2684 2745 3355 3660 4026 5490 6039 6710 8052 10065 10980 12078 13420 20130 24156 30195 40260 60390 120780 929809 1859618 2789427 3719236 4649045 5578854 8368281 9298090 10227899 11157708 13947135 16736562 18596180 20455798 27894270 30683697 33473124 40911596 41841405 51139495 55788540 56718349 61367394 83682810 92051091 102278990 113436698 122734788 153418485 167365620 170155047 184102182 204557980 226873396 283591745 306836970 340310094 368204364 460255455 510465141 567183490 613673940 623901839 680620188 850775235 920510910 1020930282 1134366980 1247803678 1701550470 1841021820 1871705517 2041860564 2495607356 2552325705 3119509195 3403100940 3743411034 5104651410 5615116551 6239018390 7486822068 9358527585 10209302820 11230233102 12478036780 18717055170 22460466204 28075582755 37434110340 56151165510 112302331020