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31020301211031 = 3311210139936487
BaseRepresentation
bin1110000110110011110100…
…00010001101010110010111
311001211111211010102120002000
413003121322002031112113
513031214034102223111
6145550310223050343
76351066660524346
oct703317202152627
9131744733376060
1031020301211031
11997a6aa377300
12358bb381409b3
1314402816157a2
14793567ac5b5d
1538bd98958c56
hex1c367a08d597

31020301211031 has 48 divisors (see below), whose sum is σ = 50518657862400. Its totient is φ = 18798308234640.

The previous prime is 31020301210979. The next prime is 31020301211047. The reversal of 31020301211031 is 13011210302013.

31020301211031 is a `hidden beast` number, since 310 + 2 + 0 + 301 + 21 + 1 + 0 + 31 = 666.

It is not a de Polignac number, because 31020301211031 - 27 = 31020301210903 is a prime.

It is a super-2 number, since 2×310203012110312 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31020301210995 and 31020301211013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31020301211071) 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, 32655870 + ... + 33592356.

It is an arithmetic number, because the mean of its divisors is an integer number (1052472038800).

Almost surely, 231020301211031 is an apocalyptic number.

31020301211031 is a deficient number, since it is larger than the sum of its proper divisors (19498356651369).

31020301211031 is a wasteful number, since it uses less digits than its factorization.

31020301211031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946657 (or 946640 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 31020301211031 its reverse (13011210302013), we get a palindrome (44031511513044).

The spelling of 31020301211031 in words is "thirty-one trillion, twenty billion, three hundred one million, two hundred eleven thousand, thirty-one".

Divisors: 1 3 9 11 27 33 99 121 297 363 1089 3267 10139 30417 91251 111529 273753 334587 936487 1003761 1226819 2809461 3011283 3680457 8428383 10301357 11041371 25285149 30904071 33124113 92712213 113314927 278136639 339944781 1019834343 3059503029 9495041693 28485125079 85455375237 104445458623 256366125711 313336375869 940009127607 1148900044853 2820027382821 3446700134559 10340100403677 31020301211031