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102210322100 = 22527237141233
BaseRepresentation
bin101111100110000110…
…1011011111010110100
3100202211012202100011012
41133030031123322310
53133311320301400
6114542121531352
710245603255155
oct1371415337264
9322735670135
10102210322100
113a390075887
1217986043b58
13983b716443
144d3882792c
1529d32e4d35
hex17cc35beb4

102210322100 has 36 divisors (see below), whose sum is σ = 221828617164. Its totient is φ = 40878190080.

The previous prime is 102210322099. The next prime is 102210322129. The reversal of 102210322100 is 1223012201.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 6434927524 + 95775394576 = 80218^2 + 309476^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 653084 + ... + 794316.

Almost surely, 2102210322100 is an apocalyptic number.

102210322100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102210322100 is an abundant number, since it is smaller than the sum of its proper divisors (119618295064).

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

102210322100 is a wasteful number, since it uses less digits than its factorization.

102210322100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148484 (or 148477 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 102210322100 its reverse (1223012201), we get a palindrome (103433334301).

The spelling of 102210322100 in words is "one hundred two billion, two hundred ten million, three hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 7237 14474 28948 36185 72370 141233 144740 180925 282466 361850 564932 706165 723700 1412330 2824660 3530825 7061650 14123300 1022103221 2044206442 4088412884 5110516105 10221032210 20442064420 25552580525 51105161050 102210322100