Search a number
-
+
102222200120112 = 24331133592087399
BaseRepresentation
bin10111001111100001110101…
…111011010010001100110000
3111101221100100212220000102000
4113033201311323102030300
5101344302031212320422
61001224121435254000
730350211261410502
oct2717416573221460
9441840325800360
10102222200120112
112a631212049a66
12b56b41bbaa300
134506687148317
141b3581bd37d72
15bc4079bcecac
hex5cf875ed2330

102222200120112 has 80 divisors (see below), whose sum is σ = 293418303360000. Its totient is φ = 34073749797696.

The previous prime is 102222200120107. The next prime is 102222200120141. The reversal of 102222200120112 is 211021002222201.

It is a happy number.

102222200120112 is a `hidden beast` number, since 10 + 2 + 222 + 200 + 120 + 112 = 666.

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

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, 47927389 + ... + 50014787.

It is an arithmetic number, because the mean of its divisors is an integer number (3667728792000).

Almost surely, 2102222200120112 is an apocalyptic number.

102222200120112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102222200120112 is an abundant number, since it is smaller than the sum of its proper divisors (191196103239888).

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

102222200120112 is a wasteful number, since it uses less digits than its factorization.

102222200120112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2200775 (or 2200763 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102222200120112 its reverse (211021002222201), we get a palindrome (313243202342313).

The spelling of 102222200120112 in words is "one hundred two trillion, two hundred twenty-two billion, two hundred million, one hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 113359 226718 340077 453436 680154 906872 1020231 1360308 1813744 2040462 2087399 2720616 3060693 4080924 4174798 5441232 6121386 6262197 8161848 8349596 12242772 12524394 16323696 16699192 18786591 24485544 25048788 33398384 37573182 48971088 50097576 56359773 75146364 100195152 112719546 150292728 225439092 300585456 450878184 901756368 236625463241 473250926482 709876389723 946501852964 1419752779446 1893003705928 2129629169169 2839505558892 3786007411856 4259258338338 5679011117784 6388887507507 8518516676676 11358022235568 12777775015014 17037033353352 25555550030028 34074066706704 51111100060056 102222200120112