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312132104201400 = 23352774317167667
BaseRepresentation
bin100011011111000011110101…
…1001100011010010010111000
31111221011112112000101102221120
41012332013223030122102320
5311402433022133421100
63023503301545505240
7122513541342622650
oct10676075314322270
91457145460342846
10312132104201400
119050053361107a
122b0113621a2220
1310521c148c84c2
1457113bb141360
1526144141da0a0
hex11be1eb31a4b8

312132104201400 has 96 divisors (see below), whose sum is σ = 1105839454899840. Its totient is φ = 71344480959360.

The previous prime is 312132104201371. The next prime is 312132104201413. The reversal of 312132104201400 is 4102401231213.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37158579634 + ... + 37158588033.

It is an arithmetic number, because the mean of its divisors is an integer number (11519160988540).

Almost surely, 2312132104201400 is an apocalyptic number.

312132104201400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312132104201400 is an abundant number, since it is smaller than the sum of its proper divisors (793707350698440).

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

312132104201400 is a wasteful number, since it uses less digits than its factorization.

312132104201400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74317167693 (or 74317167684 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 312132104201400 its reverse (4102401231213), we get a palindrome (316234505432613).

The spelling of 312132104201400 in words is "three hundred twelve trillion, one hundred thirty-two billion, one hundred four million, two hundred one thousand, four hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 140 150 168 175 200 210 280 300 350 420 525 600 700 840 1050 1400 2100 4200 74317167667 148634335334 222951503001 297268670668 371585838335 445903006002 520220173669 594537341336 743171676670 891806012004 1040440347338 1114757515005 1486343353340 1560660521007 1783612024008 1857929191675 2080880694676 2229515030010 2601100868345 2972686706680 3121321042014 3715858383350 4161761389352 4459030060020 5202201736690 5573787575025 6242642084028 7431716766700 7803302605035 8918060120040 10404403473380 11147575150050 12485284168056 13005504341725 14863433533400 15606605210070 20808806946760 22295150300100 26011008683450 31213210420140 39016513025175 44590300600200 52022017366900 62426420840280 78033026050350 104044034733800 156066052100700 312132104201400