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100202322220 = 225711136182051
BaseRepresentation
bin101110101010010000…
…1100001100100101100
3100120122021100101011021
41131110201201210230
53120203243302340
6114010551303524
710145051454130
oct1352441414454
9316567311137
10100202322220
113954a664850
121750567aba4
1395ab6caa30
144bc7c893c0
152916da1e4a
hex175486192c

100202322220 has 192 divisors, whose sum is σ = 287163620352. Its totient is φ = 28356480000.

The previous prime is 100202322211. The next prime is 100202322247. The reversal of 100202322220 is 22223202001.

It is a junction number, because it is equal to n+sod(n) for n = 100202322194 and 100202322203.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1180195 + ... + 1262245.

It is an arithmetic number, because the mean of its divisors is an integer number (1495643856).

Almost surely, 2100202322220 is an apocalyptic number.

100202322220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100202322220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143581810176).

100202322220 is an abundant number, since it is smaller than the sum of its proper divisors (186961298132).

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

100202322220 is a wasteful number, since it uses less digits than its factorization.

100202322220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82152 (or 82150 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 100202322220 its reverse (22223202001), we get a palindrome (122425524221).

The spelling of 100202322220 in words is "one hundred billion, two hundred two million, three hundred twenty-two thousand, two hundred twenty".