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102200122212 = 22335251241601
BaseRepresentation
bin101111100101110011…
…0100001101101100100
3100202210111120010112120
41133023212201231210
53133301212402322
6114541115145540
710245420463656
oct1371346415544
9322714503476
10102200122212
113a385339521
12179827452b0
1398395848c6
144d373306d6
1529d247ca5c
hex17cb9a1b64

102200122212 has 24 divisors (see below), whose sum is σ = 238474703712. Its totient is φ = 34065600000.

The previous prime is 102200122201. The next prime is 102200122237. The reversal of 102200122212 is 212221002201.

It is a super-4 number, since 4×1022001222124 (a number of 45 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102200122191 and 102200122200.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 302212 + ... + 543812.

It is an arithmetic number, because the mean of its divisors is an integer number (9936445988).

Almost surely, 2102200122212 is an apocalyptic number.

102200122212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102200122212 is an abundant number, since it is smaller than the sum of its proper divisors (136274581500).

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

102200122212 is a wasteful number, since it uses less digits than its factorization.

102200122212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276859 (or 276857 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 102200122212 its reverse (212221002201), we get a palindrome (314421124413).

The spelling of 102200122212 in words is "one hundred two billion, two hundred million, one hundred twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 35251 70502 105753 141004 211506 241601 423012 483202 724803 966404 1449606 2899212 8516676851 17033353702 25550030553 34066707404 51100061106 102200122212