Search a number
-
+
132212222020320 = 253513197107552569
BaseRepresentation
bin11110000011111100001110…
…100001110100101011100000
3122100010100212002000210012120
4132003330032201310223200
5114312131112314122240
61145105242321224240
736564006053500041
oct3603741641645340
9570110762023176
10132212222020320
1139143985623a52
12129b3745792080
1358a07362973c0
14249116a0228c8
1510442239c4ad0
hex783f0e874ae0

132212222020320 has 192 divisors, whose sum is σ = 450781214748480. Its totient is φ = 32379345911808.

The previous prime is 132212222020301. The next prime is 132212222020327. The reversal of 132212222020320 is 23020222212231.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132212222020327) by changing a digit.

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, 52547005 + ... + 55005564.

It is an arithmetic number, because the mean of its divisors is an integer number (2347818826815).

Almost surely, 2132212222020320 is an apocalyptic number.

132212222020320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132212222020320 is an abundant number, since it is smaller than the sum of its proper divisors (318568992728160).

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

132212222020320 is a wasteful number, since it uses less digits than its factorization.

132212222020320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107552797 (or 107552789 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 132212222020320 its reverse (23020222212231), we get a palindrome (155232444232551).

The spelling of 132212222020320 in words is "one hundred thirty-two trillion, two hundred twelve billion, two hundred twenty-two million, twenty thousand, three hundred twenty".