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223230323010100 = 225274331137936287
BaseRepresentation
bin110010110000011011011100…
…000110110010101000110100
31002021101121111000202001002211
4302300123130012302220310
5213224401200142310400
62110434332240343204
765006600335023010
oct6260333406625064
91067347430661084
10223230323010100
11651454a281158a
1221053647614b04
1397736b56800b3
143d1a596147540
151ac1aedc6ddba
hexcb06dc1b2a34

223230323010100 has 288 divisors, whose sum is σ = 568547626622976. Its totient is φ = 74484332697600.

The previous prime is 223230323010047. The next prime is 223230323010119. The reversal of 223230323010100 is 1010323032322.

It is a super-3 number, since 3×2232303230101003 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35506649157 + ... + 35506655443.

It is an arithmetic number, because the mean of its divisors is an integer number (1974123703552).

Almost surely, 2223230323010100 is an apocalyptic number.

223230323010100 is a gapful number since it is divisible by the number (20) 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 223230323010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284273813311488).

223230323010100 is an abundant number, since it is smaller than the sum of its proper divisors (345317303612876).

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

223230323010100 is a wasteful number, since it uses less digits than its factorization.

223230323010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10455 (or 10448 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 223230323010100 its reverse (1010323032322), we get a palindrome (224240646042422).

The spelling of 223230323010100 in words is "two hundred twenty-three trillion, two hundred thirty billion, three hundred twenty-three million, ten thousand, one hundred".