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1000032112321 = 11259140080139
BaseRepresentation
bin11101000110101101000…
…11110000111011000001
310112121020221211220022021
432203112203300323001
5112341031210043241
62043224114441441
7132151504462654
oct16432643607301
93477227756267
101000032112321
11356125069400
12141990893281
13733c1b30108
143658a80589b
151b02e4ab0d1
hexe8d68f0ec1

1000032112321 has 12 divisors (see below), whose sum is σ = 1117839517200. Its totient is φ = 893711280440.

The previous prime is 1000032112319. The next prime is 1000032112337. The reversal of 1000032112321 is 1232112300001.

1000032112321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1000032112321 - 21 = 1000032112319 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1000032112295 and 1000032112304.

It is not an unprimeable number, because it can be changed into a prime (1000032112381) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70032931 + ... + 70047208.

It is an arithmetic number, because the mean of its divisors is an integer number (93153293100).

Almost surely, 21000032112321 is an apocalyptic number.

1000032112321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1000032112321 is a deficient number, since it is larger than the sum of its proper divisors (117807404879).

1000032112321 is a wasteful number, since it uses less digits than its factorization.

1000032112321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140080220 (or 140080209 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1000032112321 its reverse (1232112300001), we get a palindrome (2232144412322).

The spelling of 1000032112321 in words is "one trillion, thirty-two million, one hundred twelve thousand, three hundred twenty-one".

Divisors: 1 11 59 121 649 7139 140080139 1540881529 8264728201 16949696819 90912010211 1000032112321