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100223412300 = 2232521131326567
BaseRepresentation
bin101110101010111000…
…1111110100001001100
3100120200202000212022100
41131111301332201030
53120224143143200
6114013023315100
710145425643214
oct1352561764114
9316622025270
10100223412300
113956055a070
121751074ba90
1395b2ba337b
144bca9b9244
152918b6ad00
hex1755c7e84c

100223412300 has 216 divisors, whose sum is σ = 353759357952. Its totient is φ = 23512752000.

The previous prime is 100223412271. The next prime is 100223412337. The reversal of 100223412300 is 3214322001.

100223412300 is a `hidden beast` number, since 1 + 0 + 0 + 22 + 341 + 2 + 300 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 143617 + ... + 470183.

Almost surely, 2100223412300 is an apocalyptic number.

100223412300 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 100223412300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176879678976).

100223412300 is an abundant number, since it is smaller than the sum of its proper divisors (253535945652).

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

100223412300 is a wasteful number, since it uses less digits than its factorization.

100223412300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326629 (or 326619 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 100223412300 its reverse (3214322001), we get a palindrome (103437734301).

The spelling of 100223412300 in words is "one hundred billion, two hundred twenty-three million, four hundred twelve thousand, three hundred".