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101121333132 = 22319443514619
BaseRepresentation
bin101111000101101001…
…1010001011110001100
3100200000022121222010110
41132023103101132030
53124044030130012
6114242101040020
710206611102211
oct1361323213614
9320008558113
10101121333132
11399813a12a6
12177213b6010
1396c6c1c581
144c73d53b08
15296c8d673c
hex178b4d178c

101121333132 has 24 divisors (see below), whose sum is σ = 248368187200. Its totient is φ = 31933052496.

The previous prime is 101121333029. The next prime is 101121333133. The reversal of 101121333132 is 231333121101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101121333099 and 101121333108.

It is not an unprimeable number, because it can be changed into a prime (101121333133) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 221757082 + ... + 221757537.

Almost surely, 2101121333132 is an apocalyptic number.

101121333132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101121333132 is an abundant number, since it is smaller than the sum of its proper divisors (147246854068).

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

101121333132 is a wasteful number, since it uses less digits than its factorization.

101121333132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443514645 (or 443514643 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 101121333132 its reverse (231333121101), we get a palindrome (332454454233).

The spelling of 101121333132 in words is "one hundred one billion, one hundred twenty-one million, three hundred thirty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 443514619 887029238 1330543857 1774058476 2661087714 5322175428 8426777761 16853555522 25280333283 33707111044 50560666566 101121333132