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112020111112 = 237134113128649
BaseRepresentation
bin110100001010011101…
…0110011111100001000
3101201010212121020212011
41220110322303330020
53313404122023422
6123243351425304
711043651143140
oct1502472637410
9351125536764
10112020111112
1143564483528
1219863385234
13a742b96120
1455c95d5920
152da962e077
hex1a14eb3f08

112020111112 has 128 divisors (see below), whose sum is σ = 266843808000. Its totient is φ = 42903244800.

The previous prime is 112020111017. The next prime is 112020111193. The reversal of 112020111112 is 211111020211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 112020111092 and 112020111101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3895764 + ... + 3924412.

It is an arithmetic number, because the mean of its divisors is an integer number (2084717250).

Almost surely, 2112020111112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112020111112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133421904000).

112020111112 is an abundant number, since it is smaller than the sum of its proper divisors (154823696888).

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

112020111112 is a wasteful number, since it uses less digits than its factorization.

112020111112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28847 (or 28843 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 112020111112 its reverse (211111020211), we get a palindrome (323131131323).

Subtracting 112020111112 from its reverse (211111020211), we obtain a palindrome (99090909099).

The spelling of 112020111112 in words is "one hundred twelve billion, twenty million, one hundred eleven thousand, one hundred twelve".

Divisors: 1 2 4 7 8 13 14 26 28 41 52 56 82 91 104 131 164 182 262 287 328 364 524 533 574 728 917 1048 1066 1148 1703 1834 2132 2296 3406 3668 3731 4264 5371 6812 7336 7462 10742 11921 13624 14924 21484 23842 28649 29848 37597 42968 47684 57298 69823 75194 95368 114596 139646 150388 200543 229192 279292 300776 372437 401086 488761 558584 744874 802172 977522 1174609 1489748 1604344 1955044 2349218 2607059 2979496 3753019 3910088 4698436 5214118 7506038 8222263 9396872 10428236 15012076 15269917 16444526 20856472 26271133 30024152 30539834 32889052 48789247 52542266 61079668 65778104 97578494 105084532 106889419 122159336 153873779 195156988 210169064 213778838 307747558 341524729 390313976 427557676 615495116 683049458 855115352 1077116453 1230990232 1366098916 2000359127 2154232906 2732197832 4000718254 4308465812 8001436508 8616931624 14002513889 16002873016 28005027778 56010055556 112020111112