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3113011320 = 2335312832957
BaseRepresentation
bin1011100110001100…
…1100100001111000
322000221200100201120
42321203030201320
522333412330240
61232522345240
7140100105516
oct27143144170
98027610646
103113011320
111358239531
1272a65b220
133a7c32443
142176234b6
15133468ad0
hexb98cc878

3113011320 has 128 divisors (see below), whose sum is σ = 9677629440. Its totient is φ = 800248320.

The previous prime is 3113011309. The next prime is 3113011331. The reversal of 3113011320 is 231103113.

It is an interprime number because it is at equal distance from previous prime (3113011309) and next prime (3113011331).

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 3113011320.

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, 1051282 + ... + 1054238.

It is an arithmetic number, because the mean of its divisors is an integer number (75606480).

Almost surely, 23113011320 is an apocalyptic number.

3113011320 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 3113011320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4838814720).

3113011320 is an abundant number, since it is smaller than the sum of its proper divisors (6564618120).

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

3113011320 is a wasteful number, since it uses less digits than its factorization.

3113011320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3285 (or 3281 counting only the distinct ones).

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

The square root of 3113011320 is about 55794.3663822791. The cubic root of 3113011320 is about 1460.1368671340.

Adding to 3113011320 its reverse (231103113), we get a palindrome (3344114433).

The spelling of 3113011320 in words is "three billion, one hundred 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 93 120 124 155 186 248 283 310 372 465 566 620 744 849 930 1132 1240 1415 1698 1860 2264 2830 2957 3396 3720 4245 5660 5914 6792 8490 8773 8871 11320 11828 14785 16980 17546 17742 23656 26319 29570 33960 35092 35484 43865 44355 52638 59140 70184 70968 87730 88710 91667 105276 118280 131595 175460 177420 183334 210552 263190 275001 350920 354840 366668 458335 526380 550002 733336 836831 916670 1052760 1100004 1375005 1673662 1833340 2200008 2510493 2750010 3347324 3666680 4184155 5020986 5500020 6694648 8368310 10041972 11000040 12552465 16736620 20083944 25104930 25941761 33473240 50209860 51883522 77825283 100419720 103767044 129708805 155650566 207534088 259417610 311301132 389126415 518835220 622602264 778252830 1037670440 1556505660 3113011320