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20311333211323 = 7117310141278669
BaseRepresentation
bin1001001111001000110011…
…10011010000110010111011
32122220202002201211022122101
410213210121303100302323
510130240102300230243
6111110521521204231
74164305525451550
oct447443163206273
978822081738571
1020311333211323
116520a9609a790
122340580490677
13b4447309563b
1450310660aa27
152535274a354d
hex127919cd0cbb

20311333211323 has 64 divisors (see below), whose sum is σ = 25933546414080. Its totient is φ = 15450120576000.

The previous prime is 20311333211171. The next prime is 20311333211381. The reversal of 20311333211323 is 32311233311302.

It is a happy number.

It is not a de Polignac number, because 20311333211323 - 213 = 20311333203131 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20311333211291 and 20311333211300.

It is not an unprimeable number, because it can be changed into a prime (20311333211023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2342980233 + ... + 2342988901.

It is an arithmetic number, because the mean of its divisors is an integer number (405211662720).

Almost surely, 220311333211323 is an apocalyptic number.

20311333211323 is a deficient number, since it is larger than the sum of its proper divisors (5622213202757).

20311333211323 is a wasteful number, since it uses less digits than its factorization.

20311333211323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12988.

The product of its (nonzero) digits is 5832, while the sum is 28.

Adding to 20311333211323 its reverse (32311233311302), we get a palindrome (52622566522625).

The spelling of 20311333211323 in words is "twenty trillion, three hundred eleven billion, three hundred thirty-three million, two hundred eleven thousand, three hundred twenty-three".

Divisors: 1 7 11 73 77 101 511 707 803 1111 4127 5621 7373 7777 8669 28889 45397 51611 60683 81103 95359 301271 317779 416827 567721 632837 667513 875569 2108897 2917789 3313981 4429859 4585097 6128983 6961207 9631259 23197867 30428371 32095679 35776963 48728449 63916537 67418813 212998597 250438741 334712081 393546593 447415759 703081907 2342984567 2611718299 2754826151 3613473263 4921573349 18282028093 25294312841 28728901289 39748205893 201102309023 263783548199 278237441251 1846484837393 2901619030189 20311333211323