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31013231200 = 255275699733
BaseRepresentation
bin11100111000100010…
…000101101001100000
32222001100212101021121
4130320202011221200
51002003341344300
622125225102024
72145352054450
oct347042055140
988040771247
1031013231200
1112175184696
126016327914
132c032857a3
141702c3bd60
15c17a7081a
hex738885a60

31013231200 has 144 divisors (see below), whose sum is σ = 86687889120. Its totient is φ = 10613329920.

The previous prime is 31013231191. The next prime is 31013231209. The reversal of 31013231200 is 213231013.

It is an interprime number because it is at equal distance from previous prime (31013231191) and next prime (31013231209).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31013231209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3181534 + ... + 3191266.

It is an arithmetic number, because the mean of its divisors is an integer number (601999230).

Almost surely, 231013231200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31013231200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43343944560).

31013231200 is an abundant number, since it is smaller than the sum of its proper divisors (55674657920).

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

31013231200 is a wasteful number, since it uses less digits than its factorization.

31013231200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10329 (or 10316 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 31013231200 its reverse (213231013), we get a palindrome (31226462213).

The spelling of 31013231200 in words is "thirty-one billion, thirteen million, two hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 140 160 175 200 224 280 350 400 560 569 700 800 1120 1138 1400 2276 2800 2845 3983 4552 5600 5690 7966 9104 9733 11380 14225 15932 18208 19466 19915 22760 28450 31864 38932 39830 45520 48665 56900 63728 68131 77864 79660 91040 97330 99575 113800 127456 136262 155728 159320 194660 199150 227600 243325 272524 311456 318640 340655 389320 398300 455200 486650 545048 637280 681310 778640 796600 973300 1090096 1362620 1557280 1593200 1703275 1946600 2180192 2725240 3186400 3406550 3893200 5450480 5538077 6813100 7786400 10900960 11076154 13626200 22152308 27252400 27690385 38766539 44304616 54504800 55380770 77533078 88609232 110761540 138451925 155066156 177218464 193832695 221523080 276903850 310132312 387665390 443046160 553807700 620264624 775330780 886092320 969163475 1107615400 1240529248 1550661560 1938326950 2215230800 3101323120 3876653900 4430461600 6202646240 7753307800 15506615600 31013231200