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1231442113104 = 24337258174703
BaseRepresentation
bin10001111010110111101…
…010110111001001010000
311100201120022120221122000
4101322313222313021100
5130133443140104404
62341414450114000
7154653166153200
oct21726752671120
94321508527560
101231442113104
11435284a73035
1217a7b357b900
138c180684b68
14438602c8400
1522075227339
hex11eb7ab7250

1231442113104 has 120 divisors (see below), whose sum is σ = 4111788078720. Its totient is φ = 351840597696.

The previous prime is 1231442113091. The next prime is 1231442113117. The reversal of 1231442113104 is 4013112441321.

It is a happy number.

1231442113104 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 442 + 113 + 104 = 666.

It is an interprime number because it is at equal distance from previous prime (1231442113091) and next prime (1231442113117).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 29066184 + ... + 29108519.

It is an arithmetic number, because the mean of its divisors is an integer number (34264900656).

Almost surely, 21231442113104 is an apocalyptic number.

1231442113104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1231442113104 is an abundant number, since it is smaller than the sum of its proper divisors (2880345965616).

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

1231442113104 is a wasteful number, since it uses less digits than its factorization.

1231442113104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58174734 (or 58174715 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 1231442113104 its reverse (4013112441321), we get a palindrome (5244554554425).

The spelling of 1231442113104 in words is "one trillion, two hundred thirty-one billion, four hundred forty-two million, one hundred thirteen thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 84 98 108 112 126 144 147 168 189 196 216 252 294 336 378 392 432 441 504 588 756 784 882 1008 1176 1323 1512 1764 2352 2646 3024 3528 5292 7056 10584 21168 58174703 116349406 174524109 232698812 349048218 407222921 465397624 523572327 698096436 814445842 930795248 1047144654 1221668763 1396192872 1570716981 1628891684 2094289308 2443337526 2792385744 2850560447 3141433962 3257783368 3665006289 4188578616 4886675052 5701120894 6282867924 6515566736 7330012578 8377157232 8551681341 9773350104 10995018867 11402241788 12565735848 14660025156 17103362682 19546700208 21990037734 22804483576 25131471696 25655044023 29320050312 34206725364 43980075468 45608967152 51310088046 58640100624 68413450728 76965132069 87960150936 102620176092 136826901456 153930264138 175920301872 205240352184 307860528276 410480704368 615721056552 1231442113104