Search a number
-
+
1000320312312 = 233376917773389
BaseRepresentation
bin11101000111001111011…
…11001010001111111000
310112122000001010222101000
432203213233022033320
5112342123444443222
62043312451525000
7132161604235116
oct16434757121770
93478001128330
101000320312312
11356262813312
12141a512b9760
1373439758c59
14365b6bc6ab6
151b0499389ac
hexe8e7bca3f8

1000320312312 has 128 divisors (see below), whose sum is σ = 2784668040000. Its totient is φ = 332720898048.

The previous prime is 1000320312289. The next prime is 1000320312331. The reversal of 1000320312312 is 2132130230001.

1000320312312 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 320 + 31 + 2 + 312 = 666.

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 31 ways as a sum of consecutive naturals, for example, 295165114 + ... + 295168502.

Almost surely, 21000320312312 is an apocalyptic number.

1000320312312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1000320312312 is an abundant number, since it is smaller than the sum of its proper divisors (1784347727688).

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

1000320312312 is a wasteful number, since it uses less digits than its factorization.

1000320312312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5950 (or 5940 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1000320312312 its reverse (2132130230001), we get a palindrome (3132450542313).

The spelling of 1000320312312 in words is "one trillion, three hundred twenty million, three hundred twelve thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 769 1538 1777 2307 3076 3389 3554 4614 5331 6152 6778 6921 7108 9228 10167 10662 13556 13842 14216 15993 18456 20334 20763 21324 27112 27684 30501 31986 40668 41526 42648 47979 55368 61002 63972 81336 83052 91503 95958 122004 127944 166104 183006 191916 244008 366012 383832 732024 1366513 2606141 2733026 4099539 5212282 5466052 6022253 7818423 8199078 10424564 10932104 12044506 12298617 15636846 16398156 18066759 20849128 23455269 24089012 24597234 31273692 32796312 36133518 36895851 46910538 48178024 49194468 54200277 62547384 70365807 72267036 73791702 93821076 98388936 108400554 140731614 144534072 147583404 162600831 187642152 216801108 281463228 295166808 325201662 433602216 562926456 650403324 1300806648 4631112557 9262225114 13893337671 18524450228 27786675342 37048900456 41680013013 55573350684 83360026026 111146701368 125040039039 166720052052 250080078078 333440104104 500160156156 1000320312312