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31330232013102 = 23112959962928813
BaseRepresentation
bin1110001111110101000110…
…10110011001000100101110
311002221010210201220121020020
413013322203112121010232
513101303303343404402
6150344524311503010
76412351233055521
oct707724326310456
9132833721817206
1031330232013102
119a8a093215140
123620013387a66
1314635749b4129
147a4569ad6bb8
15394e87da78bc
hex1c7ea359912e

31330232013102 has 128 divisors (see below), whose sum is σ = 71922510144000. Its totient is φ = 9010014881280.

The previous prime is 31330232013029. The next prime is 31330232013107. The reversal of 31330232013102 is 20131023203313.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31330232013107) 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, 1087350048 + ... + 1087378860.

It is an arithmetic number, because the mean of its divisors is an integer number (561894610500).

Almost surely, 231330232013102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31330232013102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35961255072000).

31330232013102 is an abundant number, since it is smaller than the sum of its proper divisors (40592278130898).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31330232013102 is a wasteful number, since it uses less digits than its factorization.

31330232013102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38546.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 31330232013102 its reverse (20131023203313), we get a palindrome (51461255216415).

The spelling of 31330232013102 in words is "thirty-one trillion, three hundred thirty billion, two hundred thirty-two million, thirteen thousand, one hundred two".

Divisors: 1 2 3 6 11 22 29 33 58 59 66 87 118 174 177 319 354 638 649 957 1298 1711 1914 1947 3422 3894 5133 9629 10266 18821 19258 28813 28887 37642 56463 57626 57774 86439 105919 112926 172878 211838 279241 316943 317757 558482 568111 633886 635514 835577 837723 950829 1136222 1671154 1675446 1699967 1704333 1901658 2506731 3071651 3399934 3408666 5013462 5099901 6143302 6249221 9191347 9214953 10199802 12498442 16475219 18382694 18429906 18699637 18747663 27574041 32950438 37399274 37495326 49299043 49425657 55148082 56098911 98598086 98851314 112197822 147897129 181227409 277440377 295794258 362454818 542289473 543682227 554880754 832321131 1084578946 1087364454 1626868419 1664642262 3051844147 3253736838 6103688294 8045770933 9155532441 16091541866 16368982243 18311064882 24137312799 32737964486 48274625598 49106946729 88503480263 98213893458 177006960526 180058804673 265510440789 360117609346 474700485047 531020881578 540176414019 949400970094 1080352828038 1424101455141 2848202910282 5221705335517 10443410671034 15665116006551 31330232013102