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1010131323312 = 243373131817149
BaseRepresentation
bin11101011001100001000…
…01001100100110110000
310120120022210021222022210
432230300201030212300
5113022222104321222
62052014203532120
7132656665402536
oct16546041144660
93516283258283
101010131323312
1135a437886071
1214392ab2a040
1374341245bc7
1436c67bd2156
151b420e14d0c
hexeb3084c9b0

1010131323312 has 80 divisors (see below), whose sum is σ = 2688596991200. Its totient is φ = 326563301376.

The previous prime is 1010131323283. The next prime is 1010131323343. The reversal of 1010131323312 is 2133231310101.

It is a happy number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 352687 + ... + 1464462.

It is an arithmetic number, because the mean of its divisors is an integer number (33607462390).

Almost surely, 21010131323312 is an apocalyptic number.

1010131323312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1010131323312 is an abundant number, since it is smaller than the sum of its proper divisors (1678465667888).

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

1010131323312 is a wasteful number, since it uses less digits than its factorization.

1010131323312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1817510 (or 1817504 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 1010131323312 its reverse (2133231310101), we get a palindrome (3143362633413).

The spelling of 1010131323312 in words is "one trillion, ten billion, one hundred thirty-one million, three hundred twenty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 296 313 444 592 626 888 939 1252 1776 1878 2504 3756 5008 7512 11581 15024 23162 34743 46324 69486 92648 138972 185296 277944 555888 1817149 3634298 5451447 7268596 10902894 14537192 21805788 29074384 43611576 67234513 87223152 134469026 201703539 268938052 403407078 537876104 568767637 806814156 1075752208 1137535274 1613628312 1706302911 2275070548 3227256624 3412605822 4550141096 6825211644 9100282192 13650423288 21044402569 27300846576 42088805138 63133207707 84177610276 126266415414 168355220552 252532830828 336710441104 505065661656 1010131323312