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20301300401031 = 3313791440150839
BaseRepresentation
bin1001001110110110000111…
…10011001000001110000111
32122212210012112022202021000
410213123003303020032013
510130104030400313111
6111102142203224343
74163502102125016
oct447330363101607
978783175282230
1020301300401031
116517807905931
12233a6405180b3
13b4353465acc0
14502833d86a7d
1525313b7b3c56
hex1276c3cc8387

20301300401031 has 64 divisors (see below), whose sum is σ = 32802456064000. Its totient is φ = 12333868185600.

The previous prime is 20301300400957. The next prime is 20301300401033. The reversal of 20301300401031 is 13010400310302.

20301300401031 is a `hidden beast` number, since 20 + 301 + 300 + 4 + 0 + 10 + 31 = 666.

It is not a de Polignac number, because 20301300401031 - 211 = 20301300398983 is a prime.

It is a super-2 number, since 2×203013004010312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20301300400995 and 20301300401013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20301300401033) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 399299910 + ... + 399350748.

It is an arithmetic number, because the mean of its divisors is an integer number (512538376000).

Almost surely, 220301300401031 is an apocalyptic number.

20301300401031 is a deficient number, since it is larger than the sum of its proper divisors (12501155662969).

20301300401031 is a wasteful number, since it uses less digits than its factorization.

20301300401031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65341 (or 65335 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 20301300401031 its reverse (13010400310302), we get a palindrome (33311700711333).

The spelling of 20301300401031 in words is "twenty trillion, three hundred one billion, three hundred million, four hundred one thousand, thirty-one".

Divisors: 1 3 9 13 27 39 79 117 237 351 711 1027 2133 3081 9243 14401 27729 43203 50839 129609 152517 187213 388827 457551 561639 660907 1137679 1372653 1684917 1982721 3413037 4016281 5054751 5948163 10239111 12048843 14789827 17844489 30717333 36146529 44369481 52211653 108439587 133108443 156634959 399325329 469904877 732132439 1409714631 2196397317 6589191951 9517721707 19767575853 28553165121 57838462681 85659495363 173515388043 256978486089 520546164129 751900014853 1561638492387 2255700044559 6767100133677 20301300401031