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112298512212 = 22331731263647
BaseRepresentation
bin110100010010110000…
…0110100111101010100
3101201212021110111101000
41220211200310331110
53314441404342322
6123331134503300
711053601414145
oct1504540647524
9351767414330
10112298512212
1143697645387
1219920664b30
13a788770ac3
145614585acc
152dc3cc33ac
hex1a25834f54

112298512212 has 144 divisors (see below), whose sum is σ = 318540418560. Its totient is φ = 34093889280.

The previous prime is 112298512177. The next prime is 112298512267. The reversal of 112298512212 is 212215892211.

112298512212 is a `hidden beast` number, since 1 + 122 + 9 + 8 + 512 + 2 + 12 = 666.

It is a super-2 number, since 2×1122985122122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1732573 + ... + 1796219.

It is an arithmetic number, because the mean of its divisors is an integer number (2212086240).

Almost surely, 2112298512212 is an apocalyptic number.

112298512212 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 112298512212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159270209280).

112298512212 is an abundant number, since it is smaller than the sum of its proper divisors (206241906348).

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

112298512212 is a wasteful number, since it uses less digits than its factorization.

112298512212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63739 (or 63700 counting only the distinct ones).

The product of its digits is 11520, while the sum is 36.

The spelling of 112298512212 in words is "one hundred twelve billion, two hundred ninety-eight million, five hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 27 31 34 36 51 54 62 68 93 102 108 124 153 186 204 279 306 372 459 527 558 612 837 918 961 1054 1116 1581 1674 1836 1922 2108 2883 3162 3348 3844 4743 5766 6324 8649 9486 11532 14229 16337 17298 18972 25947 28458 32674 34596 49011 51894 56916 63647 65348 98022 103788 127294 147033 190941 196044 254588 294066 381882 441099 572823 588132 763764 882198 1081999 1145646 1718469 1764396 1973057 2163998 2291292 3245997 3436938 3946114 4327996 5919171 6491994 6873876 7892228 9737991 11838342 12983988 17757513 19475982 23676684 29213973 33541969 35515026 38951964 53272539 58427946 61164767 67083938 71030052 100625907 106545078 116855892 122329534 134167876 183494301 201251814 213090156 244659068 301877721 366988602 402503628 550482903 603755442 733977204 905633163 1039801039 1100965806 1207510884 1651448709 1811266326 2079602078 2201931612 3119403117 3302897418 3622532652 4159204156 6238806234 6605794836 9358209351 12477612468 18716418702 28074628053 37432837404 56149256106 112298512212