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3131002320 = 243519965557
BaseRepresentation
bin1011101010011111…
…0100110111010000
322002012112101201220
42322213310313100
522403014033240
61234404125040
7140406036435
oct27247646720
98065471656
103131002320
111367407426
12734696780
133ab8912c4
14219b87b8c
15134d1e5d0
hexba9f4dd0

3131002320 has 80 divisors (see below), whose sum is σ = 9755030400. Its totient is φ = 830725632.

The previous prime is 3131002309. The next prime is 3131002321. The reversal of 3131002320 is 232001313.

It is a tau number, because it is divible by the number of its divisors (80).

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 3131002320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3131002321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14982 + ... + 80538.

It is an arithmetic number, because the mean of its divisors is an integer number (121937880).

Almost surely, 23131002320 is an apocalyptic number.

3131002320 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 3131002320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4877515200).

3131002320 is an abundant number, since it is smaller than the sum of its proper divisors (6624028080).

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

3131002320 is a wasteful number, since it uses less digits than its factorization.

3131002320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65772 (or 65766 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 3131002320 is about 55955.3600649661. The cubic root of 3131002320 is about 1462.9443179178.

Adding to 3131002320 its reverse (232001313), we get a palindrome (3363003633).

The spelling of 3131002320 in words is "three billion, one hundred thirty-one million, two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 199 240 398 597 796 995 1194 1592 1990 2388 2985 3184 3980 4776 5970 7960 9552 11940 15920 23880 47760 65557 131114 196671 262228 327785 393342 524456 655570 786684 983355 1048912 1311140 1573368 1966710 2622280 3146736 3933420 5244560 7866840 13045843 15733680 26091686 39137529 52183372 65229215 78275058 104366744 130458430 156550116 195687645 208733488 260916860 313100232 391375290 521833720 626200464 782750580 1043667440 1565501160 3131002320