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132221033130 = 235291071420357
BaseRepresentation
bin111101100100011111…
…1001101101010101010
3110122021201012102022010
41323020333031222222
54131242041030010
6140424055340350
712360363144414
oct1731077155252
9418251172263
10132221033130
11510903651aa
12217606816b6
13c61208b914
14658445d9b4
15368cd37620
hex1ec8fcdaaa

132221033130 has 64 divisors (see below), whose sum is σ = 331341114240. Its totient is φ = 33724932864.

The previous prime is 132221033107. The next prime is 132221033143. The reversal of 132221033130 is 31330122231.

132221033130 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 132221033097 and 132221033106.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 617089 + ... + 803268.

It is an arithmetic number, because the mean of its divisors is an integer number (5177204910).

Almost surely, 2132221033130 is an apocalyptic number.

132221033130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132221033130 is an abundant number, since it is smaller than the sum of its proper divisors (199120081110).

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

132221033130 is a wasteful number, since it uses less digits than its factorization.

132221033130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1420503.

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

Adding to 132221033130 its reverse (31330122231), we get a palindrome (163551155361).

The spelling of 132221033130 in words is "one hundred thirty-two billion, two hundred twenty-one million, thirty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 107 145 174 214 290 321 435 535 642 870 1070 1605 3103 3210 6206 9309 15515 18618 31030 46545 93090 1420357 2840714 4261071 7101785 8522142 14203570 21305355 41190353 42610710 82380706 123571059 151978199 205951765 247142118 303956398 411903530 455934597 617855295 759890995 911869194 1235710590 1519781990 2279672985 4407367771 4559345970 8814735542 13222103313 22036838855 26444206626 44073677710 66110516565 132221033130