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10091829001 = 31325542871
BaseRepresentation
bin10010110011000010…
…10001011100001001
3222001022120000211111
421121201101130021
5131132002012001
64345222530321
7505041062662
oct113141213411
928038500744
1010091829001
114309635551
121b578969a1
13c4aa2ca67
146ba428369
153e0e9b851
hex259851709

10091829001 has 4 divisors (see below), whose sum is σ = 10417371904. Its totient is φ = 9766286100.

The previous prime is 10091828963. The next prime is 10091829023. The reversal of 10091829001 is 10092819001.

10091829001 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 10092819001 = 10199928901.

It is a cyclic number.

It is not a de Polignac number, because 10091829001 - 29 = 10091828489 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31), and also a Moran number because the ratio is a prime number: 325542871 = 10091829001 / (1 + 0 + 0 + 9 + 1 + 8 + 2 + 9 + 0 + 0 + 1).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10091829101) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 162771405 + ... + 162771466.

It is an arithmetic number, because the mean of its divisors is an integer number (2604342976).

Almost surely, 210091829001 is an apocalyptic number.

It is an amenable number.

10091829001 is a deficient number, since it is larger than the sum of its proper divisors (325542903).

10091829001 is an equidigital number, since it uses as much as digits as its factorization.

10091829001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325542902.

The product of its (nonzero) digits is 1296, while the sum is 31.

The spelling of 10091829001 in words is "ten billion, ninety-one million, eight hundred twenty-nine thousand, one".

Divisors: 1 31 325542871 10091829001