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102112111212 = 22373223522719
BaseRepresentation
bin101111100011001011…
…0110010101001101100
3100202120100221201010220
41133012112302221230
53133111200024322
6114524252531340
710243301424066
oct1370626625154
9322510851126
10102112111212
113a33a696561
1217959180b50
13982427b0a7
144d29780736
1529c989555c
hex17c65b2a6c

102112111212 has 48 divisors (see below), whose sum is σ = 242608988160. Its totient is φ = 33420498048.

The previous prime is 102112111109. The next prime is 102112111271. The reversal of 102112111212 is 212111211201.

It is a happy number.

It is a super-2 number, since 2×1021121112122 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102112111191 and 102112111200.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66012 + ... + 456707.

It is an arithmetic number, because the mean of its divisors is an integer number (5054353920).

Almost surely, 2102112111212 is an apocalyptic number.

102112111212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102112111212 is an abundant number, since it is smaller than the sum of its proper divisors (140496876948).

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

102112111212 is a wasteful number, since it uses less digits than its factorization.

102112111212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523022 (or 523020 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 102112111212 its reverse (212111211201), we get a palindrome (314223322413).

The spelling of 102112111212 in words is "one hundred two billion, one hundred twelve million, one hundred eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 73 146 219 223 292 438 446 669 876 892 1338 2676 16279 32558 48837 65116 97674 195348 522719 1045438 1568157 2090876 3136314 6272628 38158487 76316974 114475461 116566337 152633948 228950922 233132674 349699011 457901844 466265348 699398022 1398796044 8509342601 17018685202 25528027803 34037370404 51056055606 102112111212