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123014210220041 = 74759149233277659
BaseRepresentation
bin11011111110000101111010…
…010011010111000000001001
3121010120001011211002021122112
4123332011322103113000021
5112110431100304020131
61113343540434432105
734624324543261220
oct3376057223270011
9533501154067575
10123014210220041
1136218040771598
1211968b8a132635
135384261c907aa
142253cc3321cb7
15e34d366a502b
hex6fe17a4d7009

123014210220041 has 128 divisors (see below), whose sum is σ = 148381009920000. Its totient is φ = 99820962146304.

The previous prime is 123014210220029. The next prime is 123014210220071. The reversal of 123014210220041 is 140022012410321.

It is a de Polignac number, because none of the positive numbers 2k-123014210220041 is a prime.

It is a super-2 number, since 2×1230142102200412 (a number of 29 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 = 123014210219989 and 123014210220016.

It is not an unprimeable number, because it can be changed into a prime (123014210220071) 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, 186667996970 + ... + 186667997628.

It is an arithmetic number, because the mean of its divisors is an integer number (1159226640000).

Almost surely, 2123014210220041 is an apocalyptic number.

It is an amenable number.

123014210220041 is a deficient number, since it is larger than the sum of its proper divisors (25366799699959).

123014210220041 is a wasteful number, since it uses less digits than its factorization.

123014210220041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1431.

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 123014210220041 its reverse (140022012410321), we get a palindrome (263036222630362).

The spelling of 123014210220041 in words is "one hundred twenty-three trillion, fourteen billion, two hundred ten million, two hundred twenty thousand, forty-one".

Divisors: 1 7 47 59 149 233 277 329 413 659 1043 1631 1939 2773 4613 7003 8791 10951 13019 13747 16343 19411 30973 34717 38881 41273 49021 61537 64541 76657 91133 96229 98191 114401 153547 182543 216811 243019 272167 288911 413177 451787 646109 687337 768121 1074829 1277801 1631699 1827407 1939831 2048303 2435107 2892239 3033427 3807919 4522763 4614977 5376847 5793269 7216709 8579521 9059273 9616609 10770037 11421893 12791849 13578817 14338121 17045749 21233989 22878503 26655433 27198907 32304839 40552883 42532519 50516963 60056647 63414911 67316263 75390259 96270241 114450029 160149521 178972193 190392349 272283643 297727633 425785831 451980623 506191739 567379931 673891687 801150203 1075289641 1252805351 1278348629 1349831677 1604735513 1905985501 1999028393 2509418621 2980500817 3163864361 3543342173 3971659517 6337345331 7527027487 8948440403 9448821739 11233148591 13993198751 17565930347 26666856757 44361417317 63442088819 75422569111 117942675187 186667997299 297855230557 373903374529 444094621733 527957983777 825598726309 2084986613899 2617323621703 17573458602863 123014210220041