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1001231111310 = 235671249398819
BaseRepresentation
bin11101001000111100000…
…01100101010010001110
310112201100111222100201020
432210132001211102032
5112401010131030220
62043543105255010
7132223304011563
oct16443601452216
93481314870636
101001231111310
1135668a951061
12142066334466
1373553363a81
1436661b5486a
151b09e89a040
hexe91e06548e

1001231111310 has 64 divisors (see below), whose sum is σ = 2440778400000. Its totient is φ = 262798728192.

The previous prime is 1001231111297. The next prime is 1001231111371. The reversal of 1001231111310 is 131111321001.

It is a super-2 number, since 2×10012311113102 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1001231111310.

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, 2311081 + ... + 2709899.

It is an arithmetic number, because the mean of its divisors is an integer number (38137162500).

Almost surely, 21001231111310 is an apocalyptic number.

1001231111310 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 1001231111310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1220389200000).

1001231111310 is an abundant number, since it is smaller than the sum of its proper divisors (1439547288690).

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

1001231111310 is a wasteful number, since it uses less digits than its factorization.

1001231111310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400145.

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 1001231111310 its reverse (131111321001), we get a palindrome (1132342432311).

The spelling of 1001231111310 in words is "one trillion, one billion, two hundred thirty-one million, one hundred eleven thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 67 134 201 335 402 670 1005 1249 2010 2498 3747 6245 7494 12490 18735 37470 83683 167366 251049 398819 418415 502098 797638 836830 1196457 1255245 1994095 2392914 2510490 3988190 5982285 11964570 26720873 53441746 80162619 133604365 160325238 267208730 400813095 498124931 801626190 996249862 1494374793 2490624655 2988749586 4981249310 7471873965 14943747930 33374370377 66748740754 100123111131 166871851885 200246222262 333743703770 500615555655 1001231111310