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23333100101130 = 2354367449601259
BaseRepresentation
bin1010100111000101010010…
…01001001001111000001010
310001121121210212100011111110
411103202221021021320022
511024242142111214010
6121343024520511150
74625521654306041
oct523425111117012
9101547725304443
1023333100101130
11748656a794996
12274a14001b4b6
1310033c03696a1
145a9484323558
152a6e32b2b120
hex1538a9249e0a

23333100101130 has 128 divisors (see below), whose sum is σ = 58286625408000. Its totient is φ = 5973406838784.

The previous prime is 23333100101117. The next prime is 23333100101137. The reversal of 23333100101130 is 3110100133332.

It is a junction number, because it is equal to n+sod(n) for n = 23333100101097 and 23333100101106.

It is not an unprimeable number, because it can be changed into a prime (23333100101137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38506441 + ... + 39107699.

It is an arithmetic number, because the mean of its divisors is an integer number (455364261000).

Almost surely, 223333100101130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23333100101130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29143312704000).

23333100101130 is an abundant number, since it is smaller than the sum of its proper divisors (34953525306870).

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

23333100101130 is a wasteful number, since it uses less digits than its factorization.

23333100101130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601828.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 23333100101130 its reverse (3110100133332), we get a palindrome (26443200234462).

The spelling of 23333100101130 in words is "twenty-three trillion, three hundred thirty-three billion, one hundred million, one hundred one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 43 67 86 129 134 201 215 258 335 402 430 449 645 670 898 1005 1290 1347 2010 2245 2694 2881 4490 5762 6735 8643 13470 14405 17286 19307 28810 30083 38614 43215 57921 60166 86430 90249 96535 115842 150415 180498 193070 289605 300830 451245 579210 601259 902490 1202518 1293569 1803777 2587138 3006295 3607554 3880707 6012590 6467845 7761414 9018885 12935690 18037770 19403535 25854137 38807070 40284353 51708274 77562411 80568706 120853059 129270685 155124822 201421765 241706118 258541370 269965291 387812055 402843530 539930582 604265295 775624110 809895873 1208530590 1349826455 1619791746 1732227179 2699652910 3464454358 4049479365 5196681537 8098958730 8661135895 10393363074 11608507513 17322271790 18087674497 23217015026 25983407685 34825522539 36175348994 51966815370 54263023491 58042537565 69651045078 90438372485 108526046982 116085075130 174127612695 180876744970 271315117455 348255225390 542630234910 777770003371 1555540006742 2333310010113 3888850016855 4666620020226 7777700033710 11666550050565 23333100101130