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329421036131 = 1147962520599
BaseRepresentation
bin1001100101100110000…
…01100001101001100011
31011111021220210111222222
410302303001201221203
520344123241124011
6411200044021255
732541234415025
oct4626301415143
91144256714888
10329421036131
111177856501a0
1253a1653182b
13250ab282025
1411d3071c015
158880572ddb
hex4cb3061a63

329421036131 has 8 divisors (see below), whose sum is σ = 360118656000. Its totient is φ = 298848458440.

The previous prime is 329421036127. The next prime is 329421036143. The reversal of 329421036131 is 131630124923.

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

It is a cyclic number.

It is not a de Polignac number, because 329421036131 - 22 = 329421036127 is a prime.

It is a super-2 number, since 2×3294210361312 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 329421036091 and 329421036100.

It is not an unprimeable number, because it can be changed into a prime (329421036151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31255031 + ... + 31265568.

It is an arithmetic number, because the mean of its divisors is an integer number (45014832000).

Almost surely, 2329421036131 is an apocalyptic number.

329421036131 is a deficient number, since it is larger than the sum of its proper divisors (30697619869).

329421036131 is a wasteful number, since it uses less digits than its factorization.

329421036131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62521089.

The product of its (nonzero) digits is 23328, while the sum is 35.

The spelling of 329421036131 in words is "three hundred twenty-nine billion, four hundred twenty-one million, thirty-six thousand, one hundred thirty-one".

Divisors: 1 11 479 5269 62520599 687726589 29947366921 329421036131