Search a number
-
+
132320141412330 = 235191032253792223
BaseRepresentation
bin11110000101100000101111…
…000001101000011111101010
3122100111200102011101220222110
4132011200233001220133222
5114320413122200143310
61145231011144303150
736604546312261014
oct3605405701503752
9570450364356873
10132320141412330
1139185725280523
1212a10643771ab6
1358aa974705c01
142496486b671b4
151046e3d0d5d20
hex78582f0687ea

132320141412330 has 64 divisors (see below), whose sum is σ = 337527923466240. Its totient is φ = 33103700156736.

The previous prime is 132320141412223. The next prime is 132320141412359. The reversal of 132320141412330 is 33214141023231.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 1126837402 + ... + 1126954821.

It is an arithmetic number, because the mean of its divisors is an integer number (5273873804160).

Almost surely, 2132320141412330 is an apocalyptic number.

132320141412330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132320141412330 is an abundant number, since it is smaller than the sum of its proper divisors (205207782053910).

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

132320141412330 is a wasteful number, since it uses less digits than its factorization.

132320141412330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2253792355.

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 132320141412330 its reverse (33214141023231), we get a palindrome (165534282435561).

The spelling of 132320141412330 in words is "one hundred thirty-two trillion, three hundred twenty billion, one hundred forty-one million, four hundred twelve thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 103 114 190 206 285 309 515 570 618 1030 1545 1957 3090 3914 5871 9785 11742 19570 29355 58710 2253792223 4507584446 6761376669 11268961115 13522753338 22537922230 33806883345 42822052237 67613766690 85644104474 128466156711 214110261185 232140598969 256932313422 428220522370 464281197938 642330783555 696421796907 1160702994845 1284661567110 1392843593814 2321405989690 3482108984535 4410671380411 6964217969070 8821342760822 13232014141233 22053356902055 26464028282466 44106713804110 66160070706165 132320141412330