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3131002230320 = 245163886327091
BaseRepresentation
bin101101100011111110010…
…001101001011000110000
3102002022122221002002121102
4231203332101221120300
5402244243032332240
610354210151543532
7442131103561526
oct55437621513060
912068587062542
103131002230320
11aa793a152328
1242698638aba8
13199338242b13
14ab781530316
15566a0579815
hex2d8fe469630

3131002230320 has 80 divisors (see below), whose sum is σ = 7325336957952. Its totient is φ = 1244531070720.

The previous prime is 3131002230299. The next prime is 3131002230329. The reversal of 3131002230320 is 230322001313.

3131002230320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (20).

It is a junction number, because it is equal to n+sod(n) for n = 3131002230292 and 3131002230301.

It is not an unprimeable number, because it can be changed into a prime (3131002230329) 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, 115559975 + ... + 115587065.

Almost surely, 23131002230320 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 3131002230320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3662668478976).

3131002230320 is an abundant number, since it is smaller than the sum of its proper divisors (4194334727632).

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

3131002230320 is a wasteful number, since it uses less digits than its factorization.

3131002230320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36130 (or 36124 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 3131002230320 its reverse (230322001313), we get a palindrome (3361324231633).

The spelling of 3131002230320 in words is "three trillion, one hundred thirty-one billion, two million, two hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 163 326 652 815 1304 1630 2608 3260 6520 8863 13040 17726 27091 35452 44315 54182 70904 88630 108364 135455 141808 177260 216728 270910 354520 433456 541820 709040 1083640 1444669 2167280 2889338 4415833 5778676 7223345 8831666 11557352 14446690 17663332 22079165 23114704 28893380 35326664 44158330 57786760 70653328 88316660 115573520 176633320 240107533 353266640 480215066 960430132 1200537665 1920860264 2401075330 3841720528 4802150660 9604301320 19208602640 39137527879 78275055758 156550111516 195687639395 313100223032 391375278790 626200446064 782750557580 1565501115160 3131002230320