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1321535413242 = 2331110122027793
BaseRepresentation
bin10011001110110001101…
…001100001101111111010
311200100010002000210111000
4103032301221201233322
5133123001031210432
62451034402145430
7164322610445622
oct23166151415772
94610102023430
101321535413242
1146a507319980
12194157652276
139780a913205
1447d69751882
152459988357c
hex133b1a61bfa

1321535413242 has 64 divisors (see below), whose sum is σ = 3235442382720. Its totient is φ = 396500256000.

The previous prime is 1321535413157. The next prime is 1321535413283. The reversal of 1321535413242 is 2423145351231.

1321535413242 is a `hidden beast` number, since 1 + 3 + 21 + 53 + 541 + 3 + 2 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1321535413197 and 1321535413206.

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, 10953903 + ... + 11073890.

It is an arithmetic number, because the mean of its divisors is an integer number (50553787230).

Almost surely, 21321535413242 is an apocalyptic number.

1321535413242 is an abundant number, since it is smaller than the sum of its proper divisors (1913906969478).

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

1321535413242 is a wasteful number, since it uses less digits than its factorization.

1321535413242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22027916 (or 22027910 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The spelling of 1321535413242 in words is "one trillion, three hundred twenty-one billion, five hundred thirty-five million, four hundred thirteen thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 101 198 202 297 303 594 606 909 1111 1818 2222 2727 3333 5454 6666 9999 19998 29997 59994 22027793 44055586 66083379 132166758 198250137 242305723 396500274 484611446 594750411 726917169 1189500822 1453834338 2180751507 2224807093 4361503014 4449614186 6542254521 6674421279 13084509042 13348842558 20023263837 24472878023 40046527674 48945756046 60069791511 73418634069 120139583022 146837268138 220255902207 440511804414 660767706621 1321535413242