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1005332830501 = 71101140194231
BaseRepresentation
bin11101010000100101000…
…00011001100100100101
310120002221101002021122211
432220102200121210211
5112432410201034001
62045502111323421
7132430041030556
oct16502240314445
93502841067584
101005332830501
113583a51a042a
12142a0bb20571
1373a5807b64c
14369307c632d
151b23ea14351
hexea12819925

1005332830501 has 8 divisors (see below), whose sum is σ = 1029586439808. Its totient is φ = 981359610000.

The previous prime is 1005332830477. The next prime is 1005332830519. The reversal of 1005332830501 is 1050382335001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1005332830501 is a prime.

It is a super-2 number, since 2×10053328305012 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005332870501) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70089945 + ... + 70104286.

It is an arithmetic number, because the mean of its divisors is an integer number (128698304976).

Almost surely, 21005332830501 is an apocalyptic number.

It is an amenable number.

1005332830501 is a deficient number, since it is larger than the sum of its proper divisors (24253609307).

1005332830501 is a wasteful number, since it uses less digits than its factorization.

1005332830501 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140194403.

The product of its (nonzero) digits is 10800, while the sum is 31.

The spelling of 1005332830501 in words is "one trillion, five billion, three hundred thirty-two million, eight hundred thirty thousand, five hundred one".

Divisors: 1 71 101 7171 140194231 9953790401 14159617331 1005332830501