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1311423364620 = 2232517972144087
BaseRepresentation
bin10011000101010110111…
…011000111111000001100
311122101000100102111112200
4103011112323013320030
5132441243340131440
62442243134001500
7163514202450405
oct23052673077014
94571010374480
101311423364620
114661983340a6
121921b5046290
13968889540a5
144768a7829ac
15241a6c40c30
hex13156ec7e0c

1311423364620 has 144 divisors (see below), whose sum is σ = 4212512111808. Its totient is φ = 329100226560.

The previous prime is 1311423364607. The next prime is 1311423364633. The reversal of 1311423364620 is 264633241131.

1311423364620 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 4 + 2 + 3 + 3 + 646 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1311423364607) and next prime (1311423364633).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29724217 + ... + 29768303.

It is an arithmetic number, because the mean of its divisors is an integer number (29253556332).

Almost surely, 21311423364620 is an apocalyptic number.

1311423364620 is a gapful number since it is divisible by the number (10) 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 1311423364620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2106256055904).

1311423364620 is an abundant number, since it is smaller than the sum of its proper divisors (2901088747188).

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

1311423364620 is a wasteful number, since it uses less digits than its factorization.

1311423364620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53840 (or 53835 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 1311423364620 in words is "one trillion, three hundred eleven billion, four hundred twenty-three million, three hundred sixty-four thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 9721 19442 29163 38884 44087 48605 58326 87489 88174 97210 116652 132261 145815 165257 174978 176348 194420 220435 264522 291630 330514 349956 396783 437445 440870 495771 529044 583260 661028 661305 749479 793566 826285 874890 881740 991542 1322610 1487313 1498958 1587132 1652570 1749780 1983084 1983915 2248437 2478855 2645220 2974626 2997916 3305140 3747395 3967830 4496874 4957710 5949252 6745311 7436565 7494790 7935660 8993748 9915420 11242185 13490622 14873130 14989580 22484370 26981244 29746260 33726555 44968740 67453110 134906220 428569727 857139454 1285709181 1714278908 2142848635 2571418362 3857127543 4285697270 5142836724 6428545905 7285685359 7714255086 8571394540 12857091810 14571370718 15428510172 19285637715 21857056077 25714183620 29142741436 36428426795 38571275430 43714112154 65571168231 72856853590 77142550860 87428224308 109285280385 131142336462 145713707180 218570560770 262284672924 327855841155 437141121540 655711682310 1311423364620