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1322302012031 = 7111359102121929
BaseRepresentation
bin10011001111011111010…
…101110111101001111111
311200102002111112001022202
4103033133111313221333
5133131033303341111
62451242425102115
7164350606436540
oct23173725675177
94612074461282
101322302012031
1146a8700169a0
1219433032793b
139790069cc70
1447ddd4a44c7
15245e1d0db3b
hex133df577a7f

1322302012031 has 64 divisors (see below), whose sum is σ = 1807340774400. Its totient is φ = 934027545600.

The previous prime is 1322302011977. The next prime is 1322302012033. The reversal of 1322302012031 is 1302102032231.

It is a cyclic number.

It is not a de Polignac number, because 1322302012031 - 214 = 1322301995647 is a prime.

It is a super-2 number, since 2×13223020120312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1322302011994 and 1322302012012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1322302012033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 60288275 + ... + 60310203.

It is an arithmetic number, because the mean of its divisors is an integer number (28239699600).

Almost surely, 21322302012031 is an apocalyptic number.

1322302012031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1322302012031 is a deficient number, since it is larger than the sum of its proper divisors (485038762369).

1322302012031 is a wasteful number, since it uses less digits than its factorization.

1322302012031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23040.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 1322302012031 its reverse (1302102032231), we get a palindrome (2624404044262).

The spelling of 1322302012031 in words is "one trillion, three hundred twenty-two billion, three hundred two million, twelve thousand, thirty-one".

Divisors: 1 7 11 13 59 77 91 143 413 649 767 1001 1021 4543 5369 7147 8437 11231 13273 21929 59059 60239 78617 92911 146003 153503 241219 285077 421673 662629 783107 1022021 1293811 1688533 1995539 3135847 4638403 5481749 8614177 9056677 14231921 16819543 21950929 22389509 60299239 99623447 117736801 156726563 185014973 246284599 291063617 1295104811 1320981031 1723992193 2037445319 3201699787 9246867217 14530791341 17172753403 22411898509 101715539387 120209273821 188900287433 1322302012031