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23130202120 = 2354746326573
BaseRepresentation
bin10101100010101010…
…101110000000001000
32012200222120000022121
4111202222232000020
5334332312431440
614343104301024
71446121321414
oct254252560010
965628500277
1023130202120
11989a43a223
124596311774
13224804893c
141195d01d44
1590597d34a
hex562aae008

23130202120 has 64 divisors (see below), whose sum is σ = 53267051520. Its totient is φ = 9035330304.

The previous prime is 23130202063. The next prime is 23130202141. The reversal of 23130202120 is 2120203132.

It is a super-2 number, since 2×231302021202 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23130202094 and 23130202103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 857154 + ... + 883726.

It is an arithmetic number, because the mean of its divisors is an integer number (832297680).

Almost surely, 223130202120 is an apocalyptic number.

23130202120 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 23130202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26633525760).

23130202120 is an abundant number, since it is smaller than the sum of its proper divisors (30136849400).

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

23130202120 is a wasteful number, since it uses less digits than its factorization.

23130202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27094 (or 27090 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 23130202120 its reverse (2120203132), we get a palindrome (25250405252).

The spelling of 23130202120 in words is "twenty-three billion, one hundred thirty million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 47 94 188 235 376 463 470 926 940 1852 1880 2315 3704 4630 9260 18520 21761 26573 43522 53146 87044 106292 108805 132865 174088 212584 217610 265730 435220 531460 870440 1062920 1248931 2497862 4995724 6244655 9991448 12303299 12489310 24606598 24978620 49213196 49957240 61516495 98426392 123032990 246065980 492131960 578255053 1156510106 2313020212 2891275265 4626040424 5782550530 11565101060 23130202120