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112211214012 = 223230111035197
BaseRepresentation
bin110100010000001001…
…1110011111010111100
3101201122012012021202100
41220200103303322330
53314302032322022
6123314335425100
711051461403352
oct1504023637274
9351565167670
10112211214012
1143652339a07
12198b7385190
13a773656871
145606b3d7d2
152dbb2cc1ac
hex1a204f3ebc

112211214012 has 36 divisors (see below), whose sum is σ = 283739490216. Its totient is φ = 37391279520.

The previous prime is 112211214007. The next prime is 112211214023. The reversal of 112211214012 is 210412112211.

112211214012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1122112140122 (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 congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 409203 + ... + 625994.

It is an arithmetic number, because the mean of its divisors is an integer number (7881652506).

Almost surely, 2112211214012 is an apocalyptic number.

112211214012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112211214012 is an abundant number, since it is smaller than the sum of its proper divisors (171528276204).

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

112211214012 is a wasteful number, since it uses less digits than its factorization.

112211214012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038218 (or 1038213 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 112211214012 its reverse (210412112211), we get a palindrome (322623326223).

The spelling of 112211214012 in words is "one hundred twelve billion, two hundred eleven million, two hundred fourteen thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 3011 6022 9033 12044 18066 27099 36132 54198 108396 1035197 2070394 3105591 4140788 6211182 9316773 12422364 18633546 37267092 3116978167 6233956334 9350934501 12467912668 18701869002 28052803503 37403738004 56105607006 112211214012