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101133200032 = 256151810041
BaseRepresentation
bin101111000110000000…
…0100010101010100000
3100200001010221212110021
41132030000202222200
53124110044400112
6114243203243224
710210114005454
oct1361400425240
9320033855407
10101133200032
1139988067057
1217725379514
1396c9515ac7
144c75762664
15296d97c907
hex178c022aa0

101133200032 has 24 divisors (see below), whose sum is σ = 202370024052. Its totient is φ = 49737638400.

The previous prime is 101133199991. The next prime is 101133200131. The reversal of 101133200032 is 230002331101.

It can be written as a sum of positive squares in 2 ways, for example, as 80476611856 + 20656588176 = 283684^2 + 143724^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 101133199979 and 101133200015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25903069 + ... + 25906972.

Almost surely, 2101133200032 is an apocalyptic number.

It is an amenable number.

101133200032 is an abundant number, since it is smaller than the sum of its proper divisors (101236824020).

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

101133200032 is an equidigital number, since it uses as much as digits as its factorization.

101133200032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51810112 (or 51810104 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 101133200032 its reverse (230002331101), we get a palindrome (331135531133).

The spelling of 101133200032 in words is "one hundred one billion, one hundred thirty-three million, two hundred thousand, thirty-two".

Divisors: 1 2 4 8 16 32 61 122 244 488 976 1952 51810041 103620082 207240164 414480328 828960656 1657921312 3160412501 6320825002 12641650004 25283300008 50566600016 101133200032