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112102201012212 = 223219315286842153
BaseRepresentation
bin11001011111010011010011…
…110111101010111111110100
3112200220212101010121222110200
4121133103103313222333310
5104143140301424342322
61034231012403120500
732420055021346425
oct3137232367527764
9480825333558420
10112102201012212
11327a0304a78134
12106a61a8373130
134a7226633c548
141d97abdcb364c
15ce607ec968ac
hex65f4d3deaff4

112102201012212 has 72 divisors (see below), whose sum is σ = 307905687048960. Its totient is φ = 34258737144960.

The previous prime is 112102201012211. The next prime is 112102201012337. The reversal of 112102201012212 is 212210102201211.

112102201012212 is a `hidden beast` number, since 1 + 1 + 210 + 220 + 10 + 1 + 221 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112102201012211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2643399873 + ... + 2643442280.

It is an arithmetic number, because the mean of its divisors is an integer number (4276467875680).

Almost surely, 2112102201012212 is an apocalyptic number.

112102201012212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112102201012212 is an abundant number, since it is smaller than the sum of its proper divisors (195803486036748).

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

112102201012212 is a wasteful number, since it uses less digits than its factorization.

112102201012212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5286842213 (or 5286842208 counting only the distinct ones).

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

Adding to 112102201012212 its reverse (212210102201211), we get a palindrome (324312303213423).

The spelling of 112102201012212 in words is "one hundred twelve trillion, one hundred two billion, two hundred one million, twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 19 31 36 38 57 62 76 93 114 124 171 186 228 279 342 372 558 589 684 1116 1178 1767 2356 3534 5301 7068 10602 21204 5286842153 10573684306 15860526459 21147368612 31721052918 47581579377 63442105836 95163158754 100450000907 163892106743 190326317508 200900001814 301350002721 327784213486 401800003628 491676320229 602700005442 655568426972 904050008163 983352640458 1205400010884 1475028960687 1808100016326 1966705280916 2950057921374 3113950028117 3616200032652 5900115842748 6227900056234 9341850084351 12455800112468 18683700168702 28025550253053 37367400337404 56051100506106 112102201012212