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100022132132 = 221312109158849
BaseRepresentation
bin101110100100111001…
…0001001110110100100
3100120011201021202211022
41131021302021312210
53114321131212012
6113541033230312
710140433044446
oct1351162116644
9316151252738
10100022132132
113946798231a
1217475262398
13958028b490
144babd82496
15290615c472
hex1749c89da4

100022132132 has 24 divisors (see below), whose sum is σ = 188520003000. Its totient is φ = 46159958016.

The previous prime is 100022132101. The next prime is 100022132179. The reversal of 100022132132 is 231231220001.

100022132132 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4680749056 + 95341383076 = 68416^2 + 308774^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 100022132132.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 550244 + ... + 709092.

It is an arithmetic number, because the mean of its divisors is an integer number (7855000125).

Almost surely, 2100022132132 is an apocalyptic number.

It is an amenable number.

100022132132 is a deficient number, since it is larger than the sum of its proper divisors (88497870868).

100022132132 is a wasteful number, since it uses less digits than its factorization.

100022132132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170975 (or 170973 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 100022132132 its reverse (231231220001), we get a palindrome (331253352133).

The spelling of 100022132132 in words is "one hundred billion, twenty-two million, one hundred thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 4 13 26 52 12109 24218 48436 157417 158849 314834 317698 629668 635396 2065037 4130074 8260148 1923502541 3847005082 7694010164 25005533033 50011066066 100022132132