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102012220020 = 22352417054787
BaseRepresentation
bin101111100000001100…
…1101111001001110100
3100202022101222201012010
41133000121233021310
53132410112020040
6114510323524220
710240646364114
oct1370031571164
9322271881163
10102012220020
113a299269857
121792b829670
139809674c89
144d1a3bb044
1529c0c12e80
hex17c066f274

102012220020 has 48 divisors (see below), whose sum is σ = 286819460928. Its totient is φ = 27090378240.

The previous prime is 102012219977. The next prime is 102012220099. The reversal of 102012220020 is 20022210201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 102012219978 and 102012220005.

It is a congruent number.

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, 3512934 + ... + 3541853.

It is an arithmetic number, because the mean of its divisors is an integer number (5975405436).

Almost surely, 2102012220020 is an apocalyptic number.

102012220020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102012220020 is an abundant number, since it is smaller than the sum of its proper divisors (184807240908).

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

102012220020 is a wasteful number, since it uses less digits than its factorization.

102012220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7055040 (or 7055038 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 102012220020 its reverse (20022210201), we get a palindrome (122034430221).

The spelling of 102012220020 in words is "one hundred two billion, twelve million, two hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 241 482 723 964 1205 1446 2410 2892 3615 4820 7230 14460 7054787 14109574 21164361 28219148 35273935 42328722 70547870 84657444 105821805 141095740 211643610 423287220 1700203667 3400407334 5100611001 6800814668 8501018335 10201222002 17002036670 20402444004 25503055005 34004073340 51006110010 102012220020