Search a number
-
+
133212110323122 = 232235952110467757
BaseRepresentation
bin11110010010011111011100…
…100000111111110110110010
3122110122221202000021101221100
4132102133130200333312302
5114430021400220314442
61151152444301505230
740026154164025215
oct3622373440776662
9573587660241840
10133212110323122
1139499a36499106
1212b35496272216
135943b0438520c
1424c77016b177c
15106024552584c
hex7927dc83fdb2

133212110323122 has 96 divisors (see below), whose sum is σ = 306867769004160. Its totient is φ = 41673392766720.

The previous prime is 133212110323121. The next prime is 133212110323139. The reversal of 133212110323122 is 221323011212331.

133212110323122 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 1 + 211 + 0 + 323 + 122 = 666.

It is not an unprimeable number, because it can be changed into a prime (133212110323121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7492068 + ... + 17959824.

It is an arithmetic number, because the mean of its divisors is an integer number (3196539260460).

Almost surely, 2133212110323122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133212110323122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153433884502080).

133212110323122 is an abundant number, since it is smaller than the sum of its proper divisors (173655658681038).

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

133212110323122 is a wasteful number, since it uses less digits than its factorization.

133212110323122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10468368 (or 10468365 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 133212110323122 its reverse (221323011212331), we get a palindrome (354535121535453).

The spelling of 133212110323122 in words is "one hundred thirty-three trillion, two hundred twelve billion, one hundred ten million, three hundred twenty-three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 23 46 59 69 118 138 177 207 354 414 521 531 1042 1062 1357 1563 2714 3126 4071 4689 8142 9378 11983 12213 23966 24426 30739 35949 61478 71898 92217 107847 184434 215694 276651 553302 706997 1413994 2120991 4241982 6362973 10467757 12725946 20935514 31403271 62806542 94209813 188419626 240758411 481516822 617597663 722275233 1235195326 1444550466 1852792989 2166825699 3705585978 4333651398 5453701397 5558378967 10907402794 11116757934 14204746249 16361104191 28409492498 32722208382 42614238747 49083312573 85228477494 98166625146 125435132131 127842716241 250870264262 255685432482 321768382423 376305396393 643536764846 752610792786 965305147269 1128916189179 1930610294538 2257832378358 2895915441807 5791830883614 7400672795729 14801345591458 22202018387187 44404036774374 66606055161561 133212110323122