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132242213304 = 23332326618803
BaseRepresentation
bin111101100101001000…
…0000000100110111000
3110122100012001111001000
41323022100000212320
54131313001311204
6140430133325000
712361041160245
oct1731220004670
9418305044030
10132242213304
11510a1311183
1221767796760
13c616596276
1465871b45cc
15368eb1d039
hex1eca4009b8

132242213304 has 64 divisors (see below), whose sum is σ = 383310777600. Its totient is φ = 42164182368.

The previous prime is 132242213269. The next prime is 132242213321. The reversal of 132242213304 is 403312242231.

132242213304 is a `hidden beast` number, since 1 + 322 + 4 + 2 + 2 + 1 + 330 + 4 = 666.

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 15 ways as a sum of consecutive naturals, for example, 13304434 + ... + 13314369.

It is an arithmetic number, because the mean of its divisors is an integer number (5989230900).

Almost surely, 2132242213304 is an apocalyptic number.

It is an amenable number.

132242213304 is an abundant number, since it is smaller than the sum of its proper divisors (251068564296).

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

132242213304 is a wasteful number, since it uses less digits than its factorization.

132242213304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26618841 (or 26618831 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 132242213304 its reverse (403312242231), we get a palindrome (535554455535).

The spelling of 132242213304 in words is "one hundred thirty-two billion, two hundred forty-two million, two hundred thirteen thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 92 108 138 184 207 216 276 414 552 621 828 1242 1656 2484 4968 26618803 53237606 79856409 106475212 159712818 212950424 239569227 319425636 479138454 612232469 638851272 718707681 958276908 1224464938 1437415362 1836697407 1916553816 2448929876 2874830724 3673394814 4897859752 5510092221 5749661448 7346789628 11020184442 14693579256 16530276663 22040368884 33060553326 44080737768 66121106652 132242213304