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1311255533004 = 2231789462115629
BaseRepresentation
bin10011000101001100111…
…010111001010111001100
311122100120122121202211220
4103011030322321113030
5132440422404024004
62442214340443340
7163510064062404
oct23051472712714
94570518552756
101311255533004
1146611162278a
121921689a9550
139685cc50a41
1447672375804
152419713cdd9
hex1314ceb95cc

1311255533004 has 96 divisors (see below), whose sum is σ = 3276890769600. Its totient is φ = 406638059520.

The previous prime is 1311255532997. The next prime is 1311255533023. The reversal of 1311255533004 is 4003355521131.

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, 83891062 + ... + 83906690.

It is an arithmetic number, because the mean of its divisors is an integer number (34134278850).

Almost surely, 21311255533004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1311255533004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1638445384800).

1311255533004 is an abundant number, since it is smaller than the sum of its proper divisors (1965635236596).

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

1311255533004 is a wasteful number, since it uses less digits than its factorization.

1311255533004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20363 (or 20361 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 33.

The spelling of 1311255533004 in words is "one trillion, three hundred eleven billion, two hundred fifty-five million, five hundred thirty-three thousand, four".

Divisors: 1 2 3 4 6 12 17 34 51 68 89 102 178 204 267 356 534 1068 1513 3026 4539 4621 6052 9078 9242 13863 15629 18156 18484 27726 31258 46887 55452 62516 78557 93774 157114 187548 235671 265693 314228 411269 471342 531386 797079 822538 942684 1062772 1233807 1390981 1594158 1645076 2467614 2781962 3188316 4172943 4935228 5563924 6991573 8345886 13983146 16691772 20974719 23646677 27966292 41949438 47293354 70940031 72221609 83898876 94586708 141880062 144443218 216664827 283760124 288886436 433329654 866659308 1227767353 2455534706 3683302059 4911069412 6427723201 7366604118 12855446402 14733208236 19283169603 25710892804 38566339206 77132678412 109271294417 218542588834 327813883251 437085177668 655627766502 1311255533004