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102113121220 = 225111134107527
BaseRepresentation
bin101111100011001101…
…0101001001111000100
3100202120102212000121121
41133012122221033010
53133111424334340
6114524330323324
710243313131525
oct1370632511704
9322512760547
10102113121220
113a340216380
1217959589544
139824542a26
144d2996484c
1529c99e494a
hex17c66a93c4

102113121220 has 48 divisors (see below), whose sum is σ = 236002128768. Its totient is φ = 36803432960.

The previous prime is 102113121217. The next prime is 102113121239. The reversal of 102113121220 is 22121311201.

102113121220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 102113121194 and 102113121203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2028904 + ... + 2078623.

It is an arithmetic number, because the mean of its divisors is an integer number (4916711016).

Almost surely, 2102113121220 is an apocalyptic number.

102113121220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102113121220 is an abundant number, since it is smaller than the sum of its proper divisors (133889007548).

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

102113121220 is a wasteful number, since it uses less digits than its factorization.

102113121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4107660 (or 4107658 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 102113121220 its reverse (22121311201), we get a palindrome (124234432421).

The spelling of 102113121220 in words is "one hundred two billion, one hundred thirteen million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 113 220 226 452 565 1130 1243 2260 2486 4972 6215 12430 24860 4107527 8215054 16430108 20537635 41075270 45182797 82150540 90365594 180731188 225913985 451827970 464150551 903655940 928301102 1856602204 2320752755 4641505510 5105656061 9283011020 10211312122 20422624244 25528280305 51056560610 102113121220