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102023221331322 = 2351723773326783
BaseRepresentation
bin10111001100101000100001…
…110111011100010101111010
3111101020022202201012020100000
4113030220201313130111322
5101333022024130100242
61000552453145253430
730326635350536604
oct2714504167342572
9441208681166300
10102023221331322
112a564894779975
12b53894a494276
1344c0996581b45
141b29d43726174
15bbdcd122ba4c
hex5cca21ddc57a

102023221331322 has 288 divisors, whose sum is σ = 250447157356032. Its totient is φ = 31098576208896.

The previous prime is 102023221331299. The next prime is 102023221331347. The reversal of 102023221331322 is 223133122320201.

102023221331322 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 2 + 3 + 2 + 2 + 1 + 331 + 322 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3809239543 + ... + 3809266325.

It is an arithmetic number, because the mean of its divisors is an integer number (869608185264).

Almost surely, 2102023221331322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102023221331322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125223578678016).

102023221331322 is an abundant number, since it is smaller than the sum of its proper divisors (148423936024710).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102023221331322 is a wasteful number, since it uses less digits than its factorization.

102023221331322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27604 (or 27575 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 102023221331322 its reverse (223133122320201), we get a palindrome (325156343651523).

The spelling of 102023221331322 in words is "one hundred two trillion, twenty-three billion, two hundred twenty-one million, three hundred thirty-one thousand, three hundred twenty-two".