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102200000122212 = 22316750998004053
BaseRepresentation
bin10111001111001101001010…
…101101000000110101100100
3111101212020001201200021101120
4113033031022231000311210
5101343421100012402322
61001210010520253540
730345464163503526
oct2717151255006544
9441766051607346
10102200000122212
112a62285a7a1a63
12b5670653112b0
134504559a3cca5
141b347137b5a16
15bc36cac47a5c
hex5cf34ab40d64

102200000122212 has 24 divisors (see below), whose sum is σ = 239894611070016. Its totient is φ = 33862674690528.

The previous prime is 102200000122201. The next prime is 102200000122219. The reversal of 102200000122212 is 212221000002201.

It is a junction number, because it is equal to n+sod(n) for n = 102200000122191 and 102200000122200.

It is not an unprimeable number, because it can be changed into a prime (102200000122219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25499000023 + ... + 25499004030.

It is an arithmetic number, because the mean of its divisors is an integer number (9995608794584).

Almost surely, 2102200000122212 is an apocalyptic number.

102200000122212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102200000122212 is an abundant number, since it is smaller than the sum of its proper divisors (137694610947804).

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

102200000122212 is a wasteful number, since it uses less digits than its factorization.

102200000122212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50998004227 (or 50998004225 counting only the distinct ones).

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

Adding to 102200000122212 its reverse (212221000002201), we get a palindrome (314421000124413).

The spelling of 102200000122212 in words is "one hundred two trillion, two hundred billion, one hundred twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 167 334 501 668 1002 2004 50998004053 101996008106 152994012159 203992016212 305988024318 611976048636 8516666676851 17033333353702 25550000030553 34066666707404 51100000061106 102200000122212