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1001322300311 = 171633491035409
BaseRepresentation
bin11101001001000110111…
…01011100001110010111
310112201120212120020111122
432210203131130032113
5112401202002102221
62044000123554155
7132225462055664
oct16444335341627
93481525506448
101001322300311
11356727374773
1214209098b95b
1373569210c68
143666dcd0a6b
151b0a78adeab
hexe92375c397

1001322300311 has 16 divisors (see below), whose sum is σ = 1069785612000. Its totient is φ = 933954582528.

The previous prime is 1001322300263. The next prime is 1001322300317. The reversal of 1001322300311 is 1130032231001.

It is a cyclic number.

It is not a de Polignac number, because 1001322300311 - 210 = 1001322299287 is a prime.

It is a super-2 number, since 2×10013223003112 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1001322300311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001322300317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 449375 + ... + 1484783.

It is an arithmetic number, because the mean of its divisors is an integer number (66861600750).

Almost surely, 21001322300311 is an apocalyptic number.

1001322300311 is a deficient number, since it is larger than the sum of its proper divisors (68463311689).

1001322300311 is a wasteful number, since it uses less digits than its factorization.

1001322300311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1035938.

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

Adding to 1001322300311 its reverse (1130032231001), we get a palindrome (2131354531312).

The spelling of 1001322300311 in words is "one trillion, one billion, three hundred twenty-two million, three hundred thousand, three hundred eleven".

Divisors: 1 17 163 349 2771 5933 56887 967079 1035409 17601953 168771667 361357741 2869118339 6143081597 58901311783 1001322300311