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132200310132 = 223211477102961
BaseRepresentation
bin111101100011111000…
…0001010010101110100
3110122020021012120200200
41323013300022111310
54131221234411012
6140422035240500
712360022044462
oct1730760122564
9418207176620
10132200310132
115107a6a0760
1221755749130
13c60a9b43a7
1465817c7832
15368b0e23dc
hex1ec7c0a574

132200310132 has 72 divisors (see below), whose sum is σ = 372308856192. Its totient is φ = 39208339200.

The previous prime is 132200310103. The next prime is 132200310173. The reversal of 132200310132 is 231013002231.

132200310132 is a `hidden beast` number, since 1 + 3 + 220 + 0 + 310 + 132 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3532869 + ... + 3570092.

It is an arithmetic number, because the mean of its divisors is an integer number (5170956336).

Almost surely, 2132200310132 is an apocalyptic number.

132200310132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132200310132 is an abundant number, since it is smaller than the sum of its proper divisors (240108546060).

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

132200310132 is a wasteful number, since it uses less digits than its factorization.

132200310132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7103029 (or 7103024 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 132200310132 its reverse (231013002231), we get a palindrome (363213312363).

The spelling of 132200310132 in words is "one hundred thirty-two billion, two hundred million, three hundred ten thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 47 66 94 99 132 141 188 198 282 396 423 517 564 846 1034 1551 1692 2068 3102 4653 6204 9306 18612 7102961 14205922 21308883 28411844 42617766 63926649 78132571 85235532 127853298 156265142 234397713 255706596 312530284 333839167 468795426 667678334 703193139 937590852 1001517501 1335356668 1406386278 2003035002 2812772556 3004552503 3672230837 4006070004 6009105006 7344461674 11016692511 12018210012 14688923348 22033385022 33050077533 44066770044 66100155066 132200310132