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112022112 = 2531783827
BaseRepresentation
bin1101010110101…
…01001001100000
321210210022110010
412223111021200
5212134201422
615041004520
72530113036
oct653251140
9253708403
10112022112
1158262964
1231623740
131a292897
1410c40556
159c7bb0c
hex6ad5260

112022112 has 96 divisors (see below), whose sum is σ = 315487872. Its totient is φ = 34678784.

The previous prime is 112022111. The next prime is 112022117. The reversal of 112022112 is 211220211.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112022111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135043 + ... + 135869.

It is an arithmetic number, because the mean of its divisors is an integer number (3286332).

Almost surely, 2112022112 is an apocalyptic number.

112022112 is a gapful number since it is divisible by the number (12) 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 112022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157743936).

112022112 is an abundant number, since it is smaller than the sum of its proper divisors (203465760).

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

112022112 is a wasteful number, since it uses less digits than its factorization.

112022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 112022112 is about 10584.0498865037. The cubic root of 112022112 is about 482.0601728106.

Adding to 112022112 its reverse (211220211), we get a palindrome (323242323).

It can be divided in two parts, 1120 and 22112, that added together give a palindrome (23232).

The spelling of 112022112 in words is "one hundred twelve million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 83 96 102 136 166 204 249 272 332 408 498 544 664 816 827 996 1328 1411 1632 1654 1992 2481 2656 2822 3308 3984 4233 4962 5644 6616 7968 8466 9924 11288 13232 14059 16932 19848 22576 26464 28118 33864 39696 42177 45152 56236 67728 68641 79392 84354 112472 135456 137282 168708 205923 224944 274564 337416 411846 449888 549128 674832 823692 1098256 1166897 1349664 1647384 2196512 2333794 3294768 3500691 4667588 6589536 7001382 9335176 14002764 18670352 28005528 37340704 56011056 112022112