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1231320321300 = 22352191000721587
BaseRepresentation
bin10001111010110000011…
…010010000110100010100
311100201020211102021200110
4101322300122100310110
5130133221000240200
62341354415443020
7154650160020066
oct21726032206424
94321224367613
101231320321300
11435222248053
1217a77a826470
138c1613814c4
144384c063736
15220696bab50
hex11eb0690d14

1231320321300 has 144 divisors (see below), whose sum is σ = 3750674941440. Its totient is φ = 311024903040.

The previous prime is 1231320321277. The next prime is 1231320321331. The reversal of 1231320321300 is 31230231321.

It is a super-2 number, since 2×12313203213002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57029107 + ... + 57050693.

It is an arithmetic number, because the mean of its divisors is an integer number (26046353760).

Almost surely, 21231320321300 is an apocalyptic number.

1231320321300 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 1231320321300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1875337470720).

1231320321300 is an abundant number, since it is smaller than the sum of its proper divisors (2519354620140).

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

1231320321300 is a wasteful number, since it uses less digits than its factorization.

1231320321300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31630 (or 31623 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 1231320321300 its reverse (31230231321), we get a palindrome (1262550552621).

The spelling of 1231320321300 in words is "one trillion, two hundred thirty-one billion, three hundred twenty million, three hundred twenty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 380 475 570 950 1140 1425 1900 2850 5700 10007 20014 21587 30021 40028 43174 50035 60042 64761 86348 100070 107935 120084 129522 150105 190133 200140 215870 250175 259044 300210 323805 380266 410153 431740 500350 539675 570399 600420 647610 750525 760532 820306 950665 1000700 1079350 1140798 1230459 1295220 1501050 1619025 1640612 1901330 2050765 2158700 2281596 2460918 2851995 3002100 3238050 3802660 4101530 4753325 4921836 5703990 6152295 6476100 8203060 9506650 10253825 11407980 12304590 14259975 19013300 20507650 24609180 28519950 30761475 41015300 57039900 61522950 123045900 216021109 432042218 648063327 864084436 1080105545 1296126654 2160211090 2592253308 3240316635 4104401071 4320422180 5400527725 6480633270 8208802142 10801055450 12313203213 12961266540 16201583175 16417604284 20522005355 21602110900 24626406426 32403166350 41044010710 49252812852 61566016065 64806332700 82088021420 102610026775 123132032130 205220053550 246264064260 307830080325 410440107100 615660160650 1231320321300