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10233041013200 = 2452311209768219
BaseRepresentation
bin1001010011101001000011…
…0001100100100111010000
31100020021021020000022120102
42110322100301210213100
52320124231444410300
633432554422431532
72104212203310665
oct224722061444720
940207236008512
1010233041013200
1132958989714a5
1211932948925a8
13592c82883a85
142753d3499a6c
1512b2b8e870d5
hex94e90c649d0

10233041013200 has 120 divisors (see below), whose sum is σ = 25380411621120. Its totient is φ = 3960791654400.

The previous prime is 10233041013193. The next prime is 10233041013227. The reversal of 10233041013200 is 231014033201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149968691 + ... + 150036909.

It is an arithmetic number, because the mean of its divisors is an integer number (211503430176).

Almost surely, 210233041013200 is an apocalyptic number.

10233041013200 is a gapful number since it is divisible by the number (10) 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 10233041013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12690205810560).

10233041013200 is an abundant number, since it is smaller than the sum of its proper divisors (15147370607920).

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

10233041013200 is a wasteful number, since it uses less digits than its factorization.

10233041013200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80365 (or 80354 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 10233041013200 its reverse (231014033201), we get a palindrome (10464055046401).

The spelling of 10233041013200 in words is "ten trillion, two hundred thirty-three billion, forty-one million, thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 124 155 200 248 310 400 496 620 775 1240 1550 2480 3100 6200 12097 12400 24194 48388 60485 68219 96776 120970 136438 193552 241940 272876 302425 341095 375007 483880 545752 604850 682190 750014 967760 1091504 1209700 1364380 1500028 1705475 1875035 2114789 2419400 2728760 3000056 3410950 3750070 4229578 4838800 5457520 6000112 6821900 7500140 8459156 9375175 10573945 13643800 15000280 16918312 18750350 21147890 27287600 30000560 33836624 37500700 42295780 52869725 75001400 84591560 105739450 150002800 169183120 211478900 422957800 825245243 845915600 1650490486 3300980972 4126226215 6601961944 8252452430 13203923888 16504904860 20631131075 25582602533 33009809720 41262262150 51165205066 66019619440 82524524300 102330410132 127913012665 165049048600 204660820264 255826025330 330098097200 409321640528 511652050660 639565063325 1023304101320 1279130126650 2046608202640 2558260253300 5116520506600 10233041013200