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1232133121100 = 225272257978427
BaseRepresentation
bin10001111011100000110…
…110110110010001001100
311100210100110211210101202
4101323200312312101030
5130141402034333400
62342011212525032
7155006256503600
oct21734066662114
94323313753352
101232133121100
114355aa030622
1217a966a80778
138c26089642b
14438c7da1500
15220b5c204d5
hex11ee0db644c

1232133121100 has 108 divisors (see below), whose sum is σ = 3122361390456. Its totient is φ = 420801454080.

The previous prime is 1232133121097. The next prime is 1232133121123. The reversal of 1232133121100 is 11213312321.

It is a happy number.

It is a super-2 number, since 2×12321331211002 (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 770087 + ... + 1748513.

Almost surely, 21232133121100 is an apocalyptic number.

1232133121100 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 1232133121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1561180695228).

1232133121100 is an abundant number, since it is smaller than the sum of its proper divisors (1890228269356).

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

1232133121100 is a wasteful number, since it uses less digits than its factorization.

1232133121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978712 (or 978698 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 1232133121100 its reverse (11213312321), we get a palindrome (1243346433421).

The spelling of 1232133121100 in words is "one trillion, two hundred thirty-two billion, one hundred thirty-three million, one hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 257 350 490 514 700 980 1028 1225 1285 1799 2450 2570 3598 4900 5140 6425 7196 8995 12593 12850 17990 25186 25700 35980 44975 50372 62965 89950 125930 179900 251860 314825 629650 978427 1259300 1956854 3913708 4892135 6848989 9784270 13697978 19568540 24460675 27395956 34244945 47942923 48921350 68489890 95885846 97842700 136979780 171224725 191771692 239714615 251455739 342449450 479429230 502911478 684898900 958858460 1005822956 1198573075 1257278695 1760190173 2397146150 2514557390 3520380346 4794292300 5029114780 6286393475 7040760692 8800950865 12321331211 12572786950 17601901730 24642662422 25145573900 35203803460 44004754325 49285324844 61606656055 88009508650 123213312110 176019017300 246426624220 308033280275 616066560550 1232133121100