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23112300450100 = 225217113691195837
BaseRepresentation
bin1010100000101010000000…
…11101010101000100110100
310000211111212221211201202111
411100111000131111010310
511012132442403400400
6121053351054020404
74603544231244031
oct520250035250464
9100744787751674
1023112300450100
117400965082054
12271339a7a7704
13cb8632ab27c4
1459c8d9a82388
152a130d6323ba
hex150540755134

23112300450100 has 72 divisors (see below), whose sum is σ = 53108624502360. Its totient is φ = 8700328734720.

The previous prime is 23112300450073. The next prime is 23112300450103. The reversal of 23112300450100 is 105400321132.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 6820841082276 + 16291459367824 = 2611674^2 + 4036268^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23112300450103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18729382 + ... + 19925218.

It is an arithmetic number, because the mean of its divisors is an integer number (737619784755).

Almost surely, 223112300450100 is an apocalyptic number.

23112300450100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23112300450100 is an abundant number, since it is smaller than the sum of its proper divisors (29996324052260).

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

23112300450100 is a wasteful number, since it uses less digits than its factorization.

23112300450100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1207237 (or 1207230 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 23112300450100 its reverse (105400321132), we get a palindrome (23217700771232).

The spelling of 23112300450100 in words is "twenty-three trillion, one hundred twelve billion, three hundred million, four hundred fifty thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 11369 22738 45476 56845 113690 193273 227380 284225 386546 568450 773092 966365 1136900 1195837 1932730 2391674 3865460 4783348 4831825 5979185 9663650 11958370 19327300 20329229 23916740 29895925 40658458 59791850 81316916 101646145 119583700 203292290 406584580 508230725 1016461450 2032922900 13595470853 27190941706 54381883412 67977354265 135954708530 231123004501 271909417060 339886771325 462246009002 679773542650 924492018004 1155615022505 1359547085300 2311230045010 4622460090020 5778075112525 11556150225050 23112300450100