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1322313022140 = 22351147101422057
BaseRepresentation
bin10011001111011111111…
…111110111101010111100
311200102010021020102100120
4103033133333313222330
5133131044113202030
62451243501054540
7164351102144145
oct23173777675274
94612107212316
101322313022140
1146a876256a60
12194333b57450
1397902a56516
1448000b2cacc
15245e2c86010
hex133dfff7abc

1322313022140 has 192 divisors, whose sum is σ = 4165854271488. Its totient is φ = 310633216000.

The previous prime is 1322313022111. The next prime is 1322313022181. The reversal of 1322313022140 is 412203132231.

It is a self number, because there is not a number n which added to its sum of digits gives 1322313022140.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2921992 + ... + 3344048.

It is an arithmetic number, because the mean of its divisors is an integer number (21697157664).

Almost surely, 21322313022140 is an apocalyptic number.

1322313022140 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 1322313022140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2082927135744).

1322313022140 is an abundant number, since it is smaller than the sum of its proper divisors (2843541249348).

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

1322313022140 is a wasteful number, since it uses less digits than its factorization.

1322313022140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422228 (or 422226 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 1322313022140 its reverse (412203132231), we get a palindrome (1734516154371).

The spelling of 1322313022140 in words is "one trillion, three hundred twenty-two billion, three hundred thirteen million, twenty-two thousand, one hundred forty".