Search a number
-
+
100233311133222 = 23337182101275489
BaseRepresentation
bin10110110010100101100010…
…111001111001111000100110
3111010220012200210101010001000
4112302211202321321320212
5101114210310122230342
6553102314130014130
730053421614066601
oct2662454271717046
9433805623333030
10100233311133222
1129a3478806a843
12b2a9a79117346
1343c0c64809b27
141aa7464db5338
15b8c4723be44c
hex5b2962e79e26

100233311133222 has 64 divisors (see below), whose sum is σ = 228762796708800. Its totient is φ = 32507804390400.

The previous prime is 100233311133217. The next prime is 100233311133239. The reversal of 100233311133222 is 222331113332001.

100233311133222 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 3 + 331 + 1 + 1 + 3 + 322 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 363700054 + ... + 363975542.

It is an arithmetic number, because the mean of its divisors is an integer number (3574418698575).

Almost surely, 2100233311133222 is an apocalyptic number.

100233311133222 is an abundant number, since it is smaller than the sum of its proper divisors (128529485575578).

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

100233311133222 is a wasteful number, since it uses less digits than its factorization.

100233311133222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457638 (or 457632 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 100233311133222 its reverse (222331113332001), we get a palindrome (322564424465223).

The spelling of 100233311133222 in words is "one hundred trillion, two hundred thirty-three billion, three hundred eleven million, one hundred thirty-three thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 37 54 74 111 222 333 666 999 1998 182101 275489 364202 546303 550978 826467 1092606 1638909 1652934 2479401 3277818 4916727 4958802 6737737 7438203 9833454 10193093 13475474 14876406 20213211 20386186 30579279 40426422 60639633 61158558 91737837 121279266 181918899 183475674 275213511 363837798 550427022 50166822389 100333644778 150500467167 301000934334 451501401501 903002803002 1354504204503 1856172428393 2709008409006 3712344856786 5568517285179 11137034570358 16705551855537 33411103711074 50116655566611 100233311133222