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23300231113110 = 2357373331900253
BaseRepresentation
bin1010100110001000000011…
…11111111010100110010110
310001111110222011112120102210
411103010001333322212112
511023222333131104420
6121315551200214250
74623246306441450
oct523040177724626
9101443864476383
1023300231113110
117473633033786
1227438a830a386
1310002827a1353
145a7a46c572d0
152a615c1db9e0
hex153101ffa996

23300231113110 has 128 divisors (see below), whose sum is σ = 65656258827264. Its totient is φ = 5180266068480.

The previous prime is 23300231113079. The next prime is 23300231113121. The reversal of 23300231113110 is 1131113200332.

It is a happy number.

It is a super-2 number, since 2×233002311131102 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25431744 + ... + 26331996.

It is an arithmetic number, because the mean of its divisors is an integer number (512939522088).

Almost surely, 223300231113110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23300231113110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32828129413632).

23300231113110 is an abundant number, since it is smaller than the sum of its proper divisors (42356027714154).

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

23300231113110 is a wasteful number, since it uses less digits than its factorization.

23300231113110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903638.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 23300231113110 its reverse (1131113200332), we get a palindrome (24431344313442).

The spelling of 23300231113110 in words is "twenty-three trillion, three hundred billion, two hundred thirty-one million, one hundred thirteen thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 37 42 70 74 105 111 185 210 222 259 370 518 555 777 1110 1295 1554 2590 3331 3885 6662 7770 9993 16655 19986 23317 33310 46634 49965 69951 99930 116585 123247 139902 233170 246494 349755 369741 616235 699510 739482 862729 900253 1232470 1725458 1800506 1848705 2588187 2700759 3697410 4313645 4501265 5176374 5401518 6301771 8627290 9002530 12603542 12940935 13503795 18905313 25881870 27007590 31508855 33309361 37810626 63017710 66618722 94526565 99928083 166546805 189053130 199856166 233165527 333093610 466331054 499640415 699496581 999280830 1165827635 1398993162 2331655270 2998742743 3497482905 5997485486 6994965810 8996228229 14993713715 17992456458 20991199201 29987427430 41982398402 44981141145 62973597603 89962282290 104955996005 110953481491 125947195206 209911992010 221906962982 314867988015 332860444473 554767407455 629735976030 665720888946 776674370437 1109534814910 1553348740874 1664302222365 2330023111311 3328604444730 3883371852185 4660046222622 7766743704370 11650115556555 23300231113110