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101200332123 = 3311340741859
BaseRepresentation
bin101111001000000000…
…0101000010101011011
3100200012211021112101000
41132100000220111123
53124224241111443
6114254002200043
710211560426032
oct1362000502533
9320184245330
10101200332123
1139a11a49420
1217743953023
13970a3bc137
144c80639719
1529747dd8d3
hex179002855b

101200332123 has 16 divisors (see below), whose sum is σ = 163556092800. Its totient is φ = 61333534440.

The previous prime is 101200332119. The next prime is 101200332131. The reversal of 101200332123 is 321233002101.

101200332123 is a `hidden beast` number, since 10 + 1 + 200 + 332 + 123 = 666.

It is not a de Polignac number, because 101200332123 - 22 = 101200332119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101200332096 and 101200332105.

It is not an unprimeable number, because it can be changed into a prime (101200332523) 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, 170370633 + ... + 170371226.

It is an arithmetic number, because the mean of its divisors is an integer number (10222255800).

Almost surely, 2101200332123 is an apocalyptic number.

101200332123 is a deficient number, since it is larger than the sum of its proper divisors (62355760677).

101200332123 is a wasteful number, since it uses less digits than its factorization.

101200332123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340741879 (or 340741873 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 101200332123 its reverse (321233002101), we get a palindrome (422433334224).

It can be divided in two parts, 1012003321 and 23, that added together give a square (1012003344 = 318122).

The spelling of 101200332123 in words is "one hundred one billion, two hundred million, three hundred thirty-two thousand, one hundred twenty-three".

Divisors: 1 3 9 11 27 33 99 297 340741859 1022225577 3066676731 3748160449 9200030193 11244481347 33733444041 101200332123