Search a number
-
+
1312031021310 = 233561710317639
BaseRepresentation
bin10011000101111011001…
…001001001100011111110
311122102120200211122211000
4103011323021021203332
5132444014420140220
62442423322111130
7163535231446302
oct23057311114376
94572520748730
101312031021310
1146647a341609
1219234464b4a6
1396954800a69
144770735dd02
15241e0272390
hex1317b2498fe

1312031021310 has 128 divisors (see below), whose sum is σ = 3508278220800. Its totient is φ = 348923393280.

The previous prime is 1312031021281. The next prime is 1312031021359. The reversal of 1312031021310 is 131201302131.

1312031021310 is a `hidden beast` number, since 1 + 3 + 1 + 20 + 310 + 21 + 310 = 666.

It is a super-2 number, since 2×13120310213102 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 171750471 + ... + 171758109.

It is an arithmetic number, because the mean of its divisors is an integer number (27408423600).

Almost surely, 21312031021310 is an apocalyptic number.

1312031021310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1312031021310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1754139110400).

1312031021310 is an abundant number, since it is smaller than the sum of its proper divisors (2196247199490).

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

1312031021310 is a wasteful number, since it uses less digits than its factorization.

1312031021310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9303 (or 9297 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1312031021310 its reverse (131201302131), we get a palindrome (1443232323441).

The spelling of 1312031021310 in words is "one trillion, three hundred twelve billion, thirty-one million, twenty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 617 1031 1234 1851 2062 3085 3093 3702 5155 5553 6170 6186 7639 9255 9279 10310 11106 15278 15465 16659 18510 18558 22917 27765 27837 30930 33318 38195 45834 46395 55530 55674 68751 76390 83295 92790 114585 137502 139185 166590 206253 229170 278370 343755 412506 636127 687510 1031265 1272254 1908381 2062530 3180635 3816762 4713263 5725143 6361270 7875809 9426526 9541905 11450286 14139789 15751618 17175429 19083810 23566315 23627427 28279578 28625715 34350858 39379045 42419367 47132630 47254854 57251430 70698945 70882281 78758090 84838734 85877145 118137135 127258101 141397890 141764562 171754290 212096835 212646843 236274270 254516202 354411405 424193670 425293686 636290505 708822810 1063234215 1272581010 2126468430 4859374153 9718748306 14578122459 24296870765 29156244918 43734367377 48593741530 72890612295 87468734754 131203102131 145781224590 218671836885 262406204262 437343673770 656015510655 1312031021310