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23323130131122 = 234592971821329
BaseRepresentation
bin1010100110110010101101…
…11000101111001010110010
310001120200002001002012210000
411103121112320233022302
511024111232303143442
6121334255325450430
74625016623046063
oct523312670571262
9101520061065700
1023323130131122
117482313a20958
122748219110a16
131002491964a53
145a8bba17a56a
152a6a4c700d4c
hex153656e2f2b2

23323130131122 has 80 divisors (see below), whose sum is σ = 53164822312800. Its totient is φ = 7640025909120.

The previous prime is 23323130131099. The next prime is 23323130131127. The reversal of 23323130131122 is 22113103132332.

23323130131122 is a `hidden beast` number, since 2 + 3 + 3 + 23 + 1 + 301 + 311 + 22 = 666.

It is a super-2 number, since 2×233231301311222 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (23323130131127) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 27986154 + ... + 28807482.

It is an arithmetic number, because the mean of its divisors is an integer number (664560278910).

Almost surely, 223323130131122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23323130131122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26582411156400).

23323130131122 is an abundant number, since it is smaller than the sum of its proper divisors (29841692181678).

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

23323130131122 is a wasteful number, since it uses less digits than its factorization.

23323130131122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824373 (or 824364 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 23323130131122 its reverse (22113103132332), we get a palindrome (45436233263454).

The spelling of 23323130131122 in words is "twenty-three trillion, three hundred twenty-three billion, one hundred thirty million, one hundred thirty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 59 81 118 162 177 354 531 1062 1593 2971 3186 4779 5942 8913 9558 17826 26739 53478 80217 160434 175289 240651 350578 481302 525867 821329 1051734 1577601 1642658 2463987 3155202 4732803 4927974 7391961 9465606 14198409 14783922 22175883 28396818 44351766 48458411 66527649 96916822 133055298 145375233 290750466 436125699 872251398 1308377097 2440168459 2616754194 3925131291 4880336918 7320505377 7850262582 14641010754 21961516131 43923032262 65884548393 131769096786 143969939081 197653645179 287939878162 395307290358 431909817243 863819634486 1295729451729 2591458903458 3887188355187 7774376710374 11661565065561 23323130131122