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12263236030116 = 223231101631172421
BaseRepresentation
bin1011001001110100000111…
…0100111100111010100100
31121102100120000002221211100
42302131001310330322210
53101410101410430431
642025353003440100
72403663264236241
oct262350164747244
947370500087740
1012263236030116
1139a889a045415
121460844b26030
136ac558a11356
1430578823a5c8
15163edcc614e6
hexb2741d3cea4

12263236030116 has 144 divisors (see below), whose sum is σ = 32366914384896. Its totient is φ = 3910485600000.

The previous prime is 12263236030081. The next prime is 12263236030159. The reversal of 12263236030116 is 61103063236221.

12263236030116 is a `hidden beast` number, since 1 + 2 + 2 + 6 + 32 + 3 + 603 + 0 + 1 + 16 = 666.

12263236030116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71037586 + ... + 71210006.

It is an arithmetic number, because the mean of its divisors is an integer number (224770238784).

Almost surely, 212263236030116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12263236030116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16183457192448).

12263236030116 is an abundant number, since it is smaller than the sum of its proper divisors (20103678354780).

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

12263236030116 is a wasteful number, since it uses less digits than its factorization.

12263236030116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173194 (or 173189 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

Adding to 12263236030116 its reverse (61103063236221), we get a palindrome (73366299266337).

The spelling of 12263236030116 in words is "twelve trillion, two hundred sixty-three billion, two hundred thirty-six million, thirty thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 101 124 186 202 279 303 372 404 558 606 631 909 1116 1212 1262 1818 1893 2524 3131 3636 3786 5679 6262 7572 9393 11358 12524 18786 19561 22716 28179 37572 39122 56358 58683 63731 78244 112716 117366 127462 172421 176049 191193 234732 254924 344842 352098 382386 517263 573579 689684 704196 764772 1034526 1147158 1551789 1975661 2069052 2294316 3103578 3951322 5345051 5926983 6207156 7902644 10690102 11853966 16035153 17414521 17780949 21380204 23707932 32070306 34829042 35561898 48105459 52243563 64140612 69658084 71123796 96210918 104487126 108797651 156730689 192421836 208974252 217595302 313461378 326392953 435190604 539850151 626922756 652785906 979178859 1079700302 1305571812 1619550453 1958357718 2159400604 3239100906 3372727181 3916715436 4858651359 6478201812 6745454362 9717302718 10118181543 10988562751 13490908724 19434605436 20236363086 21977125502 30354544629 32965688253 40472726172 43954251004 60709089258 65931376506 98897064759 121418178516 131862753012 197794129518 340645445281 395588259036 681290890562 1021936335843 1362581781124 2043872671686 3065809007529 4087745343372 6131618015058 12263236030116