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22431201243000 = 2335311679733371
BaseRepresentation
bin1010001100110101010111…
…10010000010111101111000
32221102101211222112002121020
411012122223302002331320
510420003100004234000
6115412430202142440
74503413035433004
oct506325362027570
987371758462536
1022431201243000
117169023359960
122623397ab1a20
13c6933a3896b4
14577966a8d704
1528d748a69ba0
hex1466abc82f78

22431201243000 has 128 divisors (see below), whose sum is σ = 76347652343040. Its totient is φ = 5437866960000.

The previous prime is 22431201242987. The next prime is 22431201243013. The reversal of 22431201243000 is 34210213422.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22431201242987) and next prime (22431201243013).

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 339833686 + ... + 339899685.

It is an arithmetic number, because the mean of its divisors is an integer number (596466033930).

Almost surely, 222431201243000 is an apocalyptic number.

22431201243000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22431201243000 is an abundant number, since it is smaller than the sum of its proper divisors (53916451100040).

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

22431201243000 is a wasteful number, since it uses less digits than its factorization.

22431201243000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679733406 (or 679733392 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 22431201243000 its reverse (34210213422), we get a palindrome (22465411456422).

It can be divided in two parts, 2243120 and 1243000, that added together give a triangular number (3486120 = T2640).

The spelling of 22431201243000 in words is "twenty-two trillion, four hundred thirty-one billion, two hundred one million, two hundred forty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 125 132 150 165 200 220 250 264 275 300 330 375 440 500 550 600 660 750 825 1000 1100 1320 1375 1500 1650 2200 2750 3000 3300 4125 5500 6600 8250 11000 16500 33000 679733371 1359466742 2039200113 2718933484 3398666855 4078400226 5437866968 6797333710 7477067081 8156800452 10196000565 13594667420 14954134162 16313600904 16993334275 20392001130 22431201243 27189334840 29908268324 33986668550 37385335405 40784002260 44862402486 50980002825 59816536648 67973337100 74770670810 81568004520 84966671375 89724804972 101960005650 112156006215 135946674200 149541341620 169933342750 179449609944 186926677025 203920011300 224312012430 254900014125 299082683240 339866685500 373853354050 407840022600 448624024860 509800028250 560780031075 679733371000 747706708100 897248049720 934633385125 1019600056500 1121560062150 1495413416200 1869266770250 2039200113000 2243120124300 2803900155375 3738533540500 4486240248600 5607800310750 7477067081000 11215600621500 22431201243000