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23113131000 = 2335326092953
BaseRepresentation
bin10101100001101001…
…100110001111111000
32012122210102201010220
4111201221212033320
5334313430143000
614341254340040
71445523241401
oct254151461770
965583381126
1023113131000
11989083a463
12459065a620
13224464c69b
14119393a9a8
1590420a1a0
hex561a663f8

23113131000 has 128 divisors (see below), whose sum is σ = 72165038400. Its totient is φ = 6159052800.

The previous prime is 23113130977. The next prime is 23113131011. The reversal of 23113131000 is 13131132.

It is a super-2 number, since 2×231131310002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7825524 + ... + 7828476.

Almost surely, 223113131000 is an apocalyptic number.

23113131000 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 23113131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36082519200).

23113131000 is an abundant number, since it is smaller than the sum of its proper divisors (49051907400).

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

23113131000 is a wasteful number, since it uses less digits than its factorization.

23113131000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5586 (or 5572 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 23113131000 its reverse (13131132), we get a palindrome (23126262132).

The spelling of 23113131000 in words is "twenty-three billion, one hundred thirteen million, one hundred thirty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 2609 2953 3000 5218 5906 7827 8859 10436 11812 13045 14765 15654 17718 20872 23624 26090 29530 31308 35436 39135 44295 52180 59060 62616 65225 70872 73825 78270 88590 104360 118120 130450 147650 156540 177180 195675 221475 260900 295300 313080 326125 354360 369125 391350 442950 521800 590600 652250 738250 782700 885900 978375 1107375 1304500 1476500 1565400 1771800 1956750 2214750 2609000 2953000 3913500 4429500 7704377 7827000 8859000 15408754 23113131 30817508 38521885 46226262 61635016 77043770 92452524 115565655 154087540 184905048 192609425 231131310 308175080 385218850 462262620 577828275 770437700 924525240 963047125 1155656550 1540875400 1926094250 2311313100 2889141375 3852188500 4622626200 5778282750 7704377000 11556565500 23113131000