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132213133122 = 23710131167641
BaseRepresentation
bin111101100100010000…
…1000100111101000010
3110122021011100001112020
41323020201010331002
54131233030224442
6140423214142310
712360236042340
oct1731041047502
9418234301466
10132213133122
1151086959874
1221759ab1996
13c610553b65
1465833a4990
15368c2c69ec
hex1ec8844f42

132213133122 has 32 divisors (see below), whose sum is σ = 305193550464. Its totient is φ = 37401168000.

The previous prime is 132213133103. The next prime is 132213133123. The reversal of 132213133122 is 221331312231.

It is a super-3 number, since 3×1322131331223 (a number of 34 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 132213133092 and 132213133101.

It is not an unprimeable number, because it can be changed into a prime (132213133123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15579579 + ... + 15588062.

It is an arithmetic number, because the mean of its divisors is an integer number (9537298452).

Almost surely, 2132213133122 is an apocalyptic number.

132213133122 is an abundant number, since it is smaller than the sum of its proper divisors (172980417342).

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

132213133122 is a wasteful number, since it uses less digits than its factorization.

132213133122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31167754.

The product of its digits is 1296, while the sum is 24.

Adding to 132213133122 its reverse (221331312231), we get a palindrome (353544445353).

The spelling of 132213133122 in words is "one hundred thirty-two billion, two hundred thirteen million, one hundred thirty-three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 42 101 202 303 606 707 1414 2121 4242 31167641 62335282 93502923 187005846 218173487 436346974 654520461 1309040922 3147931741 6295863482 9443795223 18887590446 22035522187 44071044374 66106566561 132213133122