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1321034234040 = 2332517457472331
BaseRepresentation
bin10011001110010011110…
…001101011100010111000
311200021211010222020212100
4103032103301223202320
5133120434230442130
62450512540143400
7164304313501023
oct23162361534270
94607733866770
101321034234040
1146a27a427594
12194037837b60
139775ab37481
1447d1cd701ba
152456a885c60
hex13393c6b8b8

1321034234040 has 192 divisors, whose sum is σ = 4555868859360. Its totient is φ = 330827489280.

The previous prime is 1321034234033. The next prime is 1321034234119. The reversal of 1321034234040 is 404324301231.

1321034234040 is a `hidden beast` number, since 1 + 3 + 210 + 3 + 42 + 3 + 404 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1321034233995 and 1321034234013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2560675 + ... + 3033005.

Almost surely, 21321034234040 is an apocalyptic number.

1321034234040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1321034234040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2277934429680).

1321034234040 is an abundant number, since it is smaller than the sum of its proper divisors (3234834625320).

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

1321034234040 is a wasteful number, since it uses less digits than its factorization.

1321034234040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472822 (or 472815 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 1321034234040 its reverse (404324301231), we get a palindrome (1725358535271).

The spelling of 1321034234040 in words is "one trillion, three hundred twenty-one billion, thirty-four million, two hundred thirty-four thousand, forty".