Search a number
-
+
23300141011000 = 2353722714663399
BaseRepresentation
bin1010100110000111111001…
…01000001101000000111000
310001111110201212222220120121
411103003330220031000320
511023222142044323000
6121315534221103024
74623244133542210
oct523037450150070
9101443655886517
1023300141011000
117473597192727
1227438820b7a74
131000269c14aa9
145a7a38cc1240
152a615433eb1a
hex1530fca0d038

23300141011000 has 128 divisors (see below), whose sum is σ = 62585737344000. Its totient is φ = 7953427075200.

The previous prime is 23300141010931. The next prime is 23300141011051. The reversal of 23300141011000 is 11014100332.

It is a super-2 number, since 2×233001410110002 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5742700 + ... + 8920699.

It is an arithmetic number, because the mean of its divisors is an integer number (488951073000).

Almost surely, 223300141011000 is an apocalyptic number.

23300141011000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23300141011000 is an abundant number, since it is smaller than the sum of its proper divisors (39285596333000).

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

23300141011000 is a wasteful number, since it uses less digits than its factorization.

23300141011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14663654 (or 14663640 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 23300141011000 its reverse (11014100332), we get a palindrome (23311155111332).

The spelling of 23300141011000 in words is "twenty-three trillion, three hundred billion, one hundred forty-one million, eleven thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 227 250 280 350 454 500 700 875 908 1000 1135 1400 1589 1750 1816 2270 3178 3500 4540 5675 6356 7000 7945 9080 11350 12712 15890 22700 28375 31780 39725 45400 56750 63560 79450 113500 158900 198625 227000 317800 397250 794500 1589000 14663399 29326798 58653596 73316995 102643793 117307192 146633990 205287586 293267980 366584975 410575172 513218965 586535960 733169950 821150344 1026437930 1466339900 1832924875 2052875860 2566094825 2932679800 3328591573 3665849750 4105751720 5132189650 6657183146 7331699500 10264379300 12830474125 13314366292 14663399000 16642957865 20528758600 23300141011 25660948250 26628732584 33285915730 46600282022 51321896500 66571831460 83214789325 93200564044 102643793000 116500705055 133143662920 166429578650 186401128088 233001410110 332859157300 416073946625 466002820220 582503525275 665718314600 832147893250 932005640440 1165007050550 1664295786500 2330014101100 2912517626375 3328591573000 4660028202200 5825035252750 11650070505500 23300141011000