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31013011320 = 23353113216311
BaseRepresentation
bin11100111000100001…
…001111111101111000
32222001100110012122220
4130320201033331320
51002003312330240
622125220244040
72145350150424
oct347041177570
988040405586
1031013011320
1112175044475
126016240620
132c03209695
141702bc1b84
15c17a2a5d0
hex73884ff78

31013011320 has 128 divisors (see below), whose sum is σ = 96128225280. Its totient is φ = 7996032000.

The previous prime is 31013011319. The next prime is 31013011339. The reversal of 31013011320 is 2311031013.

It is a super-2 number, since 2×310130113202 (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 self number, because there is not a number n which added to its sum of digits gives 31013011320.

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, 4910965 + ... + 4917275.

It is an arithmetic number, because the mean of its divisors is an integer number (751001760).

Almost surely, 231013011320 is an apocalyptic number.

31013011320 is a gapful number since it is divisible by the number (30) 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 31013011320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48064112640).

31013011320 is an abundant number, since it is smaller than the sum of its proper divisors (65115213960).

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

31013011320 is a wasteful number, since it uses less digits than its factorization.

31013011320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7677 (or 7673 counting only the distinct ones).

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

Adding to 31013011320 its reverse (2311031013), we get a palindrome (33324042333).

The spelling of 31013011320 in words is "thirty-one billion, thirteen million, eleven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 1240 1321 1860 2642 3720 3963 5284 6311 6605 7926 10568 12622 13210 15852 18933 19815 25244 26420 31555 31704 37866 39630 40951 50488 52840 63110 75732 79260 81902 94665 122853 126220 151464 158520 163804 189330 195641 204755 245706 252440 327608 378660 391282 409510 491412 586923 614265 757320 782564 819020 978205 982824 1173846 1228530 1565128 1638040 1956410 2347692 2457060 2934615 3912820 4695384 4914120 5869230 7825640 8336831 11738460 16673662 23476920 25010493 33347324 41684155 50020986 66694648 83368310 100041972 125052465 166736620 200083944 250104930 258441761 333473240 500209860 516883522 775325283 1000419720 1033767044 1292208805 1550650566 2067534088 2584417610 3101301132 3876626415 5168835220 6202602264 7753252830 10337670440 15506505660 31013011320