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112011213330 = 232537131256771
BaseRepresentation
bin110100001010001100…
…0110111101000010010
3101201010020212012101200
41220110120313220102
53313344332311310
6123242433012030
711043512414112
oct1502430675022
9351106765350
10112011213330
114355a456495
12198603b4016
13a74109c173
1455c835b042
152da89729c0
hex1a14637a12

112011213330 has 96 divisors (see below), whose sum is σ = 301384594368. Its totient is φ = 28840406400.

The previous prime is 112011213277. The next prime is 112011213343. The reversal of 112011213330 is 33312110211.

112011213330 is a `hidden beast` number, since 1 + 120 + 1 + 1 + 213 + 330 = 666.

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

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, 307845 + ... + 564615.

It is an arithmetic number, because the mean of its divisors is an integer number (3139422858).

Almost surely, 2112011213330 is an apocalyptic number.

112011213330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112011213330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150692297184).

112011213330 is an abundant number, since it is smaller than the sum of its proper divisors (189373381038).

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

112011213330 is a wasteful number, since it uses less digits than its factorization.

112011213330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256952 (or 256949 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 112011213330 its reverse (33312110211), we get a palindrome (145323323541).

The spelling of 112011213330 in words is "one hundred twelve billion, eleven million, two hundred thirteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 131 185 222 262 333 370 393 555 655 666 786 1110 1179 1310 1665 1965 2358 3330 3930 4847 5895 9694 11790 14541 24235 29082 43623 48470 72705 87246 145410 218115 256771 436230 513542 770313 1283855 1540626 2310939 2567710 3851565 4621878 7703130 9500527 11554695 19001054 23109390 28501581 33637001 47502635 57003162 67274002 85504743 95005270 100911003 142507905 168185005 171009486 201822006 285015810 302733009 336370010 427523715 504555015 605466018 855047430 1009110030 1244569037 1513665045 2489138074 3027330090 3733707111 6222845185 7467414222 11201121333 12445690370 18668535555 22402242666 37337071110 56005606665 112011213330