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23011223100 = 22352157613797
BaseRepresentation
bin10101011011100100…
…110110011000111100
32012101200200020210020
4111123210312120330
5334111333114400
614323214212140
71443145111665
oct253344663074
965350606706
1023011223100
119839265558
1245624b4050
1322294bb658
1411841b036c
158ea2ca2a0
hex55b93663c

23011223100 has 144 divisors (see below), whose sum is σ = 67196719968. Its totient is φ = 6079656960.

The previous prime is 23011223087. The next prime is 23011223107. The reversal of 23011223100 is 132211032.

It is a super-2 number, since 2×230112231002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 23011223100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23011223107) 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 47 ways as a sum of consecutive naturals, for example, 28871902 + ... + 28872698.

Almost surely, 223011223100 is an apocalyptic number.

23011223100 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 23011223100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33598359984).

23011223100 is an abundant number, since it is smaller than the sum of its proper divisors (44185496868).

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

23011223100 is a wasteful number, since it uses less digits than its factorization.

23011223100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1584 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 23011223100 its reverse (132211032), we get a palindrome (23143434132).

The spelling of 23011223100 in words is "twenty-three billion, eleven million, two hundred twenty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 157 300 314 471 613 628 785 797 942 1226 1570 1594 1839 1884 2355 2391 2452 3065 3140 3188 3678 3925 3985 4710 4782 6130 7356 7850 7970 9195 9420 9564 11775 11955 12260 15325 15700 15940 18390 19925 23550 23910 30650 36780 39850 45975 47100 47820 59775 61300 79700 91950 96241 119550 125129 183900 192482 239100 250258 288723 375387 384964 481205 488561 500516 577446 625645 750774 962410 977122 1154892 1251290 1443615 1465683 1501548 1876935 1924820 1954244 2406025 2442805 2502580 2887230 2931366 3128225 3753870 4812050 4885610 5774460 5862732 6256450 7218075 7328415 7507740 9384675 9624100 9771220 12214025 12512900 14436150 14656830 18769350 24428050 28872300 29313660 36642075 37538700 48856100 73284150 76704077 146568300 153408154 230112231 306816308 383520385 460224462 767040770 920448924 1150561155 1534081540 1917601925 2301122310 3835203850 4602244620 5752805775 7670407700 11505611550 23011223100