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1310000007390 = 2351919912139521
BaseRepresentation
bin10011000100000010000…
…101011100100011011110
311122020100011010110111020
4103010002011130203132
5132430340000214030
62441450010305010
7163434010224024
oct23040205344336
94566304113436
101310000007390
11465627941808
12191a78428166
13966bcab8089
1447593710714
1524121cd5510
hex1310215c8de

1310000007390 has 128 divisors (see below), whose sum is σ = 3329195904000. Its totient is φ = 328978298880.

The previous prime is 1310000007383. The next prime is 1310000007391. The reversal of 1310000007390 is 937000000131.

It is a super-2 number, since 2×13100000073902 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1310000007390.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1310000007391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 137585830 + ... + 137595350.

It is an arithmetic number, because the mean of its divisors is an integer number (26009343000).

Almost surely, 21310000007390 is an apocalyptic number.

1310000007390 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 1310000007390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1664597952000).

1310000007390 is an abundant number, since it is smaller than the sum of its proper divisors (2019195896610).

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

1310000007390 is a wasteful number, since it uses less digits than its factorization.

1310000007390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10962.

The product of its (nonzero) digits is 567, while the sum is 24.

The spelling of 1310000007390 in words is "one trillion, three hundred ten billion, seven thousand, three hundred ninety".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 199 285 398 570 597 995 1194 1213 1990 2426 2985 3639 3781 5970 6065 7278 7562 9521 11343 12130 18195 18905 19042 22686 23047 28563 36390 37810 46094 47605 56715 57126 69141 95210 113430 115235 138282 142815 180899 230470 241387 285630 345705 361798 482774 542697 691410 724161 904495 1085394 1206935 1448322 1808990 1894679 2413870 2713485 3620805 3789358 4586353 5426970 5684037 7241610 9172706 9473395 11368074 11548973 13759059 18946790 22931765 23097946 27518118 28420185 34646919 35998901 45863530 56840370 57744865 68795295 69293838 71997802 107996703 115489730 137590590 173234595 179994505 215993406 219430487 346469190 359989010 438860974 539983515 658291461 1079967030 1097152435 1316582922 2194304870 2298245627 3291457305 4596491254 6582914610 6894736881 11491228135 13789473762 22982456270 34473684405 43666666913 68947368810 87333333826 131000000739 218333334565 262000001478 436666669130 655000003695 1310000007390