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101020313321 = 413761655121
BaseRepresentation
bin101111000010101000…
…1111010011011101001
3100122202021112121222222
41132011101322123221
53123342200011241
6114224051523425
710204243331624
oct1360521723351
9318667477888
10101020313321
113992a373654
12176b35b9575
1396ac00c835
144c64778dbb
152963acea4b
hex178547a6e9

101020313321 has 8 divisors (see below), whose sum is σ = 103511896488. Its totient is φ = 98530048000.

The previous prime is 101020313281. The next prime is 101020313363. The reversal of 101020313321 is 123313020101.

It can be written as a sum of positive squares in 4 ways, for example, as 949317721 + 100070995600 = 30811^2 + 316340^2 .

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-101020313321 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 101020313321.

It is not an unprimeable number, because it can be changed into a prime (101020313921) 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, 173360 + ... + 481761.

It is an arithmetic number, because the mean of its divisors is an integer number (12938987061).

Almost surely, 2101020313321 is an apocalyptic number.

It is an amenable number.

101020313321 is a deficient number, since it is larger than the sum of its proper divisors (2491583167).

101020313321 is an equidigital number, since it uses as much as digits as its factorization.

101020313321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658923.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 101020313321 its reverse (123313020101), we get a palindrome (224333333422).

The spelling of 101020313321 in words is "one hundred one billion, twenty million, three hundred thirteen thousand, three hundred twenty-one".

Divisors: 1 41 3761 154201 655121 26859961 2463910081 101020313321