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12311021103031 = 7173141397421487
BaseRepresentation
bin1011001100100110001000…
…0010100010011110110111
31121120220220020011011200201
42303021202002202132313
53103200432400244111
642103334403421331
72410304402532520
oct263114202423667
947526806134621
1012311021103031
113a17090512a12
121469b60084847
136b3c02924321
14307bdc725847
15165387e3b6c1
hexb32620a27b7

12311021103031 has 128 divisors (see below), whose sum is σ = 15862699819008. Its totient is φ = 9311791104000.

The previous prime is 12311021103019. The next prime is 12311021103049. The reversal of 12311021103031 is 13030112011321.

It is not a de Polignac number, because 12311021103031 - 29 = 12311021102519 is a prime.

It is a super-2 number, since 2×123110211030312 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12311021103131) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 25279303870 + ... + 25279304356.

It is an arithmetic number, because the mean of its divisors is an integer number (123927342336).

Almost surely, 212311021103031 is an apocalyptic number.

12311021103031 is a deficient number, since it is larger than the sum of its proper divisors (3551678715977).

12311021103031 is a wasteful number, since it uses less digits than its factorization.

12311021103031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1401.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 12311021103031 its reverse (13030112011321), we get a palindrome (25341133114352).

The spelling of 12311021103031 in words is "twelve trillion, three hundred eleven billion, twenty-one million, one hundred three thousand, thirty-one".

Divisors: 1 7 17 31 41 119 217 287 397 421 487 527 697 1271 2779 2947 3409 3689 4879 6749 7157 8279 8897 12307 13051 15097 16277 17261 19967 21607 47243 50099 57953 86149 91357 105679 113939 120827 139769 151249 167137 193339 205027 209219 221867 256649 276709 293437 339439 504587 535091 618977 1169959 1353373 1435189 1464533 1553069 1796543 1936963 2054059 2376073 2841329 3286763 3485459 3532109 3745637 4332839 5181247 5993509 6355837 6852617 7926899 8406107 8577979 9096547 10522609 19889303 23007341 24398213 36268729 41954563 44490859 47968319 55488293 58842749 60045853 63675829 73658263 81395719 88081199 101889653 108049229 116494489 134757283 142903819 212431127 245733869 260589317 569770033 616568393 713227571 756344603 815461423 943300981 1000326733 1383727223 1487017889 1720137083 1824125219 2523267289 3337224479 3611329159 4177475773 4430018389 9686090561 17662871023 23360571353 25279304113 29242330411 31010128723 42895543913 56732816143 103453958849 300268807391 397129713001 724177711943 1758717300433 12311021103031