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1320023100 = 22352111937569
BaseRepresentation
bin100111010101101…
…1111010000111100
310101222212010021110
41032223133100330
510200411214400
6334552402020
744466003564
oct11653372074
93358763243
101320023100
11618133990
1230a0a6310
13180628a76
14c7453da4
157ad47e50
hex4eadf43c

1320023100 has 288 divisors, whose sum is σ = 4512211200. Its totient is φ = 294451200.

The previous prime is 1320023083. The next prime is 1320023147. The reversal of 1320023100 is 13200231.

It is a happy number.

It is a super-2 number, since 2×13200231002 = 3484921969067220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 2319616 + ... + 2320184.

It is an arithmetic number, because the mean of its divisors is an integer number (15667400).

Almost surely, 21320023100 is an apocalyptic number.

1320023100 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 1320023100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2256105600).

1320023100 is an abundant number, since it is smaller than the sum of its proper divisors (3192188100).

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

1320023100 is a wasteful number, since it uses less digits than its factorization.

1320023100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1320023100 is about 36332.1221510663. The cubic root of 1320023100 is about 1096.9677093902.

Adding to 1320023100 its reverse (13200231), we get a palindrome (1333223331).

1320023100 divided by its reverse (13200231) gives a square (100 = 102).

The spelling of 1320023100 in words is "one billion, three hundred twenty million, twenty-three thousand, one hundred".