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20021121030311 = 1722331598716229
BaseRepresentation
bin1001000110101100001111…
…10011101001100010100111
32121220000000100102000101122
410203112013303221202213
510111011223440432221
6110325324231044155
74134323020561502
oct443260763514247
977800010360348
1020021121030311
116419a00965795
1222b4288b1065b
13b22ca2cc36cb
144d3055398139
1524abde23deab
hex123587ce98a7

20021121030311 has 48 divisors (see below), whose sum is σ = 22913947146240. Its totient is φ = 17438717852160.

The previous prime is 20021121030307. The next prime is 20021121030341. The reversal of 20021121030311 is 11303012112002.

It is not a de Polignac number, because 20021121030311 - 22 = 20021121030307 is a prime.

It is a super-2 number, since 2×200211210303112 (a number of 27 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 20021121030311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20021121030341) 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 47 ways as a sum of consecutive naturals, for example, 1233655145 + ... + 1233671373.

It is an arithmetic number, because the mean of its divisors is an integer number (477373898880).

Almost surely, 220021121030311 is an apocalyptic number.

20021121030311 is a deficient number, since it is larger than the sum of its proper divisors (2892826115929).

20021121030311 is a wasteful number, since it uses less digits than its factorization.

20021121030311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22304 (or 22287 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 20021121030311 its reverse (11303012112002), we get a palindrome (31324133142313).

The spelling of 20021121030311 in words is "twenty trillion, twenty-one billion, one hundred twenty-one million, thirty thousand, three hundred eleven".

Divisors: 1 17 23 31 289 391 527 713 5987 6647 8959 12121 16229 101779 137701 185597 206057 275893 373267 503099 1730243 2340917 3155149 4268731 4690181 6345539 8552683 11571277 39795589 53637533 72568427 97163023 107874163 145395611 196711709 1233663259 1651771391 2234749529 3012053713 3344099053 28080113647 37990741993 51204913121 69277235399 645842613881 870483523057 1177713001783 20021121030311