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102212011020 = 22357243361931
BaseRepresentation
bin101111100110001001…
…1111000010000001100
3100202211022221010220210
41133030103320100030
53133312233323040
6114542222042420
710245623521140
oct1371423702014
9322738833823
10102212011020
113a391019789
1217986719410
13983bb880c2
144d38b47220
1529d352a480
hex17cc4f840c

102212011020 has 48 divisors (see below), whose sum is σ = 327078436608. Its totient is φ = 23362745280.

The previous prime is 102212011003. The next prime is 102212011061. The reversal of 102212011020 is 20110212201.

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 = 102212010987 and 102212011005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121680546 + ... + 121681385.

It is an arithmetic number, because the mean of its divisors is an integer number (6814134096).

Almost surely, 2102212011020 is an apocalyptic number.

102212011020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102212011020 is an abundant number, since it is smaller than the sum of its proper divisors (224866425588).

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

102212011020 is a wasteful number, since it uses less digits than its factorization.

102212011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243361950 (or 243361948 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102212011020 its reverse (20110212201), we get a palindrome (122322223221).

The spelling of 102212011020 in words is "one hundred two billion, two hundred twelve million, eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 243361931 486723862 730085793 973447724 1216809655 1460171586 1703533517 2433619310 2920343172 3407067034 3650428965 4867238620 5110600551 6814134068 7300857930 8517667585 10221201102 14601715860 17035335170 20442402204 25553002755 34070670340 51106005510 102212011020