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102220112200 = 23521313901531
BaseRepresentation
bin101111100110011001…
…0110010000101001000
3100202211220011201122111
41133030302302011020
53133321322042300
6114543111432104
710246052421553
oct1371462620510
9322756151574
10102220112200
113a395652278
1217989385634
1398407635bb
144d39c5569a
1529d40ca9ba
hex17cccb2148

102220112200 has 48 divisors (see below), whose sum is σ = 239476034160. Its totient is φ = 40575912000.

The previous prime is 102220112167. The next prime is 102220112213. The reversal of 102220112200 is 2211022201.

It is a happy number.

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 11 ways as a sum of consecutive naturals, for example, 1924566 + ... + 1976965.

It is an arithmetic number, because the mean of its divisors is an integer number (4989084045).

Almost surely, 2102220112200 is an apocalyptic number.

102220112200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102220112200 is an abundant number, since it is smaller than the sum of its proper divisors (137255921960).

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

102220112200 is a wasteful number, since it uses less digits than its factorization.

102220112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3901678 (or 3901669 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 102220112200 its reverse (2211022201), we get a palindrome (104431134401).

The spelling of 102220112200 in words is "one hundred two billion, two hundred twenty million, one hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 131 200 262 524 655 1048 1310 2620 3275 5240 6550 13100 26200 3901531 7803062 15606124 19507655 31212248 39015310 78030620 97538275 156061240 195076550 390153100 511100561 780306200 1022201122 2044402244 2555502805 4088804488 5111005610 10222011220 12777514025 20444022440 25555028050 51110056100 102220112200