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132300022114100 = 22521323000221141
BaseRepresentation
bin11110000101001101111111…
…110100100110011100110100
3122100102202111000101200022202
4132011031333310212130310
5114320100421130122400
61145213442514044032
736603234611124611
oct3605157764463464
9570382430350282
10132300022114100
1139178140479a25
1212a08769879618
1358a8ab93bb909
1424954d8aa9508
151046661b524d5
hex78537fd26734

132300022114100 has 18 divisors (see below), whose sum is σ = 287091047987814. Its totient is φ = 52920008845600.

The previous prime is 132300022114093. The next prime is 132300022114109. The reversal of 132300022114100 is 1411220003231.

It can be written as a sum of positive squares in 3 ways, for example, as 2839454164624 + 129460567949476 = 1685068^2 + 11378074^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132300022114109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 661500110471 + ... + 661500110670.

Almost surely, 2132300022114100 is an apocalyptic number.

132300022114100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132300022114100 is an abundant number, since it is smaller than the sum of its proper divisors (154791025873714).

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

132300022114100 is a wasteful number, since it uses less digits than its factorization.

132300022114100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1323000221155 (or 1323000221148 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 132300022114100 its reverse (1411220003231), we get a palindrome (133711242117331).

The spelling of 132300022114100 in words is "one hundred thirty-two trillion, three hundred billion, twenty-two million, one hundred fourteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1323000221141 2646000442282 5292000884564 6615001105705 13230002211410 26460004422820 33075005528525 66150011057050 132300022114100