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3130213301310 = 2351943277461053
BaseRepresentation
bin101101100011001111010…
…000000111110000111110
3102002020121221120100110110
4231203033100013300332
5402241134101120220
610354000010250450
7442102414025124
oct55431720076076
912066557510413
103130213301310
11aa7574893287
124267a6126a26
13199240968114
14ab708847914
155665618cbe0
hex2d8cf407c3e

3130213301310 has 128 divisors (see below), whose sum is σ = 8121042040320. Its totient is φ = 769610128896.

The previous prime is 3130213301309. The next prime is 3130213301317. The reversal of 3130213301310 is 131033120313.

It is a super-2 number, since 2×31302133013102 (a number of 26 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3130213301317) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6558744 + ... + 7019796.

It is an arithmetic number, because the mean of its divisors is an integer number (63445640940).

Almost surely, 23130213301310 is an apocalyptic number.

3130213301310 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3130213301310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4060521020160).

3130213301310 is an abundant number, since it is smaller than the sum of its proper divisors (4990828739010).

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

3130213301310 is a wasteful number, since it uses less digits than its factorization.

3130213301310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461402.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 3130213301310 its reverse (131033120313), we get a palindrome (3261246421623).

The spelling of 3130213301310 in words is "three trillion, one hundred thirty billion, two hundred thirteen million, three hundred one thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 19 30 38 43 57 86 95 114 129 190 215 258 277 285 430 554 570 645 817 831 1290 1385 1634 1662 2451 2770 4085 4155 4902 5263 8170 8310 10526 11911 12255 15789 23822 24510 26315 31578 35733 52630 59555 71466 78945 119110 157890 178665 226309 357330 452618 461053 678927 922106 1131545 1357854 1383159 2263090 2305265 2766318 3394635 4610530 6789270 6915795 8760007 13831590 17520014 19825279 26280021 39650558 43800035 52560042 59475837 87600070 99126395 118951674 127711681 131400105 198252790 255423362 262800210 297379185 376680301 383135043 594758370 638558405 753360602 766270086 1130040903 1277116810 1883401505 1915675215 2260081806 2426521939 3766803010 3831350430 4853043878 5491602283 5650204515 7279565817 10983204566 11300409030 12132609695 14559131634 16474806849 24265219390 27458011415 32949613698 36397829085 54916022830 72795658170 82374034245 104340443377 164748068490 208680886754 313021330131 521702216885 626042660262 1043404433770 1565106650655 3130213301310