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23013141200 = 2452744318553
BaseRepresentation
bin10101011011101100…
…001010101011010000
32012101211021200220222
4111123230022223100
5334112331004300
614323323252212
71443200321060
oct253354125320
965354250828
1023013141200
11983a355665
12456307a068
132229a1071a
14118454d3a0
158ea558785
hex55bb0aad0

23013141200 has 120 divisors (see below), whose sum is σ = 63333559488. Its totient is φ = 7871984640.

The previous prime is 23013141187. The next prime is 23013141223. The reversal of 23013141200 is 214131032.

It is a super-2 number, since 2×230131412002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1231124 + ... + 1249676.

Almost surely, 223013141200 is an apocalyptic number.

23013141200 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 23013141200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31666779744).

23013141200 is an abundant number, since it is smaller than the sum of its proper divisors (40320418288).

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

23013141200 is a wasteful number, since it uses less digits than its factorization.

23013141200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19021 (or 19010 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 23013141200 its reverse (214131032), we get a palindrome (23227272232).

The spelling of 23013141200 in words is "twenty-three billion, thirteen million, one hundred forty-one thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 443 560 700 886 1400 1772 2215 2800 3101 3544 4430 6202 7088 8860 11075 12404 15505 17720 18553 22150 24808 31010 35440 37106 44300 49616 62020 74212 77525 88600 92765 124040 129871 148424 155050 177200 185530 248080 259742 296848 310100 371060 463825 519484 620200 649355 742120 927650 1038968 1240400 1298710 1484240 1855300 2077936 2597420 3246775 3710600 5194840 6493550 7421200 8218979 10389680 12987100 16437958 25974200 32875916 41094895 51948400 57532853 65751832 82189790 115065706 131503664 164379580 205474475 230131412 287664265 328759160 410948950 460262824 575328530 657518320 821897900 920525648 1150657060 1438321325 1643795800 2301314120 2876642650 3287591600 4602628240 5753285300 11506570600 23013141200