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1004323131012 = 2231743359318919
BaseRepresentation
bin11101001110101100101…
…00101100111010000100
310120000100000011020100110
432213112110230322010
5112423323210143022
62045214002113020
7132363030521355
oct16472624547204
93500300136313
101004323131012
11357a27252243
1214278994b770
1373926b26626
1436876671d2c
151b1d106900c
hexe9d652ce84

1004323131012 has 96 divisors (see below), whose sum is σ = 2546053171200. Its totient is φ = 306896067072.

The previous prime is 1004323130953. The next prime is 1004323131017. The reversal of 1004323131012 is 2101313234001.

1004323131012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10043231310122 (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 1004323131012.

It is not an unprimeable number, because it can be changed into a prime (1004323131017) 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, 2989689 + ... + 3308607.

It is an arithmetic number, because the mean of its divisors is an integer number (26521387200).

Almost surely, 21004323131012 is an apocalyptic number.

1004323131012 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 1004323131012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1273026585600).

1004323131012 is an abundant number, since it is smaller than the sum of its proper divisors (1541730040188).

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

1004323131012 is a wasteful number, since it uses less digits than its factorization.

1004323131012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319345 (or 319343 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 1004323131012 its reverse (2101313234001), we get a palindrome (3105636365013).

The spelling of 1004323131012 in words is "one trillion, four billion, three hundred twenty-three million, one hundred thirty-one thousand, twelve".

Divisors: 1 2 3 4 6 12 17 34 43 51 68 86 102 129 172 204 258 359 516 718 731 1077 1436 1462 2154 2193 2924 4308 4386 6103 8772 12206 15437 18309 24412 30874 36618 46311 61748 73236 92622 185244 262429 318919 524858 637838 787287 956757 1049716 1275676 1574574 1913514 3149148 3827028 5421623 10843246 13713517 16264869 21686492 27427034 32529738 41140551 54854068 65059476 82281102 114491921 164562204 228983842 233129789 343475763 457967684 466259578 686951526 699389367 932519156 1373903052 1398778734 1946362657 2797557468 3892725314 4923152603 5839087971 7785450628 9846305206 11678175942 14769457809 19692610412 23356351884 29538915618 59077831236 83693594251 167387188502 251080782753 334774377004 502161565506 1004323131012