Search a number
-
+
1310003000232 = 2331923233953401
BaseRepresentation
bin10011000100000010010…
…000110111001110101000
311122020100100202111220020
4103010002100313032220
5132430341232001412
62441450154400440
7163434044530353
oct23040220671650
94566310674806
101310003000232
114656295a6333
12191a79430120
13966c05c53a4
1447593c8d29a
15241221c718c
hex131024373a8

1310003000232 has 128 divisors (see below), whose sum is σ = 3598867584000. Its totient is φ = 395522265600.

The previous prime is 1310003000231. The next prime is 1310003000237. The reversal of 1310003000232 is 2320003000131.

It is a super-3 number, since 3×13100030002323 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (1310003000231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24504732 + ... + 24558132.

It is an arithmetic number, because the mean of its divisors is an integer number (28116153000).

Almost surely, 21310003000232 is an apocalyptic number.

1310003000232 is a gapful number since it is divisible by the number (12) 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 1310003000232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1799433792000).

1310003000232 is an abundant number, since it is smaller than the sum of its proper divisors (2288864583768).

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

1310003000232 is a wasteful number, since it uses less digits than its factorization.

1310003000232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55791 (or 55787 counting only the distinct ones).

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

Adding to 1310003000232 its reverse (2320003000131), we get a palindrome (3630006000363).

The spelling of 1310003000232 in words is "one trillion, three hundred ten billion, three million, two hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 19 23 24 38 46 57 69 76 92 114 138 152 184 228 276 437 456 552 874 1311 1748 2339 2622 3496 4678 5244 7017 9356 10488 14034 18712 28068 44441 53401 53797 56136 88882 106802 107594 133323 160203 161391 177764 213604 215188 266646 320406 322782 355528 427208 430376 533292 640812 645564 1014619 1022143 1066584 1228223 1281624 1291128 2029238 2044286 2456446 3043857 3066429 3684669 4058476 4088572 4912892 6087714 6132858 7369338 8116952 8177144 9825784 12175428 12265716 14738676 23336237 24350856 24531432 29477352 46672474 70008711 93344948 124904939 140017422 186689896 249809878 280034844 374714817 499619756 560069688 749429634 999239512 1498859268 2373193841 2872813597 2997718536 4746387682 5745627194 7119581523 8618440791 9492775364 11491254388 14239163046 17236881582 18985550728 22982508776 28478326092 34473763164 54583458343 56956652184 68947526328 109166916686 163750375029 218333833372 327500750058 436667666744 655001500116 1310003000232