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312332201133432 = 23353741733105593
BaseRepresentation
bin100011100000100001000000…
…1111001101000010101111000
31111221212200000010001210012020
41013001002001321220111320
5311414222321442232212
63024135233221314440
7122534154051523434
oct10701020171502570
91457780003053166
10312332201133432
1190578385068797
122b0440a6265a20
1310537a530258bc
14571ad600559c4
152619725e09d8c
hex11c1081e68578

312332201133432 has 64 divisors (see below), whose sum is σ = 795670439986080. Its totient is φ = 102132605233152.

The previous prime is 312332201133401. The next prime is 312332201133439. The reversal of 312332201133432 is 234331102233213.

It is a junction number, because it is equal to n+sod(n) for n = 312332201133393 and 312332201133402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312332201133439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7118373 + ... + 25987220.

Almost surely, 2312332201133432 is an apocalyptic number.

It is an amenable number.

312332201133432 is an abundant number, since it is smaller than the sum of its proper divisors (483338238852648).

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

312332201133432 is a wasteful number, since it uses less digits than its factorization.

312332201133432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33113072 (or 33113068 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 33.

Adding to 312332201133432 its reverse (234331102233213), we get a palindrome (546663303366645).

The spelling of 312332201133432 in words is "three hundred twelve trillion, three hundred thirty-two billion, two hundred one million, one hundred thirty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 53 106 159 212 318 424 636 1272 7417 14834 22251 29668 44502 59336 89004 178008 393101 786202 1179303 1572404 2358606 3144808 4717212 9434424 33105593 66211186 99316779 132422372 198633558 264844744 397267116 794534232 1754596429 3509192858 5263789287 7018385716 10527578574 14036771432 21055157148 42110314296 245544183281 491088366562 736632549843 982176733124 1473265099686 1964353466248 2946530199372 5893060398744 13013841713893 26027683427786 39041525141679 52055366855572 78083050283358 104110733711144 156166100566716 312332201133432