Search a number
-
+
23352111213102 = 2327478513463207
BaseRepresentation
bin1010100111101000101100…
…10010110010101000101110
310001200102212210002201101200
411103310112102302220232
511030100110432304402
6121355451202550330
74630064041142340
oct523642622625056
9101612783081350
1023352111213102
117493635a9a781
1227519669683a6
13100512cbc7b79
145aa369151290
152a7696b5d21c
hex153d164b2a2e

23352111213102 has 96 divisors (see below), whose sum is σ = 59061643610112. Its totient is φ = 6529292485632.

The previous prime is 23352111213097. The next prime is 23352111213113. The reversal of 23352111213102 is 20131211125332.

23352111213102 is a `hidden beast` number, since 2 + 3 + 3 + 521 + 1 + 1 + 2 + 131 + 0 + 2 = 666.

It is a congruent number.

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, 50182383 + ... + 50645589.

It is an arithmetic number, because the mean of its divisors is an integer number (615225454272).

Almost surely, 223352111213102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23352111213102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29530821805056).

23352111213102 is an abundant number, since it is smaller than the sum of its proper divisors (35709532397010).

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

23352111213102 is a wasteful number, since it uses less digits than its factorization.

23352111213102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471782 (or 471779 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 23352111213102 its reverse (20131211125332), we get a palindrome (43483322338434).

The spelling of 23352111213102 in words is "twenty-three trillion, three hundred fifty-two billion, one hundred eleven million, two hundred thirteen thousand, one hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 42 47 63 94 126 141 282 329 423 658 846 987 1974 2961 5922 8513 17026 25539 51078 59591 76617 119182 153234 178773 357546 400111 463207 536319 800222 926414 1072638 1200333 1389621 2400666 2779242 2800777 3242449 3600999 4168863 5601554 6484898 7201998 8337726 8402331 9727347 16804662 19454694 21770729 25206993 29182041 43541458 50413986 58364082 65312187 130624374 152395103 195936561 304790206 391873122 457185309 914370618 1371555927 2743111854 3943281191 7886562382 11829843573 23659687146 27602968337 35489530719 55205936674 70979061438 82808905011 165617810022 185334215977 248426715033 370668431954 496853430066 556002647931 1112005295862 1297339511839 1668007943793 2594679023678 3336015887586 3892018535517 7784037071034 11676055606551 23352111213102