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23332022130100 = 2252101103109205763
BaseRepresentation
bin1010100111000011010001…
…11001000001010110110100
310001121112000201221120020111
411103201220321001112310
511024232440131130400
6121342325532112404
74625453154562255
oct523415071012664
9101545021846214
1023332022130100
117486067256342
122749a9b005704
13100327ac2c7c8
145a93c10bab2c
152a6dbd1973ba
hex153868e415b4

23332022130100 has 144 divisors (see below), whose sum is σ = 52102111501440. Its totient is φ = 9066696768000.

The previous prime is 23332022130077. The next prime is 23332022130107. The reversal of 23332022130100 is 103122023332.

It is a super-2 number, since 2×233320221301002 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23332022130107) 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, 113289819 + ... + 113495581.

It is an arithmetic number, because the mean of its divisors is an integer number (361820218760).

Almost surely, 223332022130100 is an apocalyptic number.

23332022130100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23332022130100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26051055750720).

23332022130100 is an abundant number, since it is smaller than the sum of its proper divisors (28770089371340).

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

23332022130100 is a wasteful number, since it uses less digits than its factorization.

23332022130100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206090 (or 206083 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 23332022130100 its reverse (103122023332), we get a palindrome (23435144153432).

The spelling of 23332022130100 in words is "twenty-three trillion, three hundred thirty-two billion, twenty-two million, one hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 103 109 202 206 218 404 412 436 505 515 545 1010 1030 1090 2020 2060 2180 2525 2575 2725 5050 5150 5450 10100 10300 10403 10900 11009 11227 20806 22018 22454 41612 44036 44908 52015 55045 56135 104030 110090 112270 205763 208060 220180 224540 260075 275225 280675 411526 520150 550450 561350 823052 1028815 1040300 1100900 1122700 1133927 2057630 2267854 4115260 4535708 5144075 5669635 10288150 11339270 20576300 20782063 21193589 22428167 22678540 28348175 41564126 42387178 44856334 56696350 83128252 84774356 89712668 103910315 105967945 112140835 113392700 207820630 211935890 224281670 415641260 423871780 448563340 519551575 529839725 560704175 1039103150 1059679450 1121408350 2078206300 2119358900 2140552489 2242816700 2265244867 2310101201 4281104978 4530489734 4620202402 8562209956 9060979468 9240404804 10702762445 11326224335 11550506005 21405524890 22652448670 23101012010 42811049780 45304897340 46202024020 53513812225 56631121675 57752530025 107027624450 113262243350 115505060050 214055248900 226524486700 231010120100 233320221301 466640442602 933280885204 1166601106505 2333202213010 4666404426020 5833005532525 11666011065050 23332022130100