Search a number
-
+
100233112231 = 733159159773
BaseRepresentation
bin101110101011001011…
…0111110101010100111
3100120201102021200010001
41131112112332222213
53120234134042411
6114014011242131
710145604253000
oct1352626765247
9316642250101
10100233112231
1139565a8483a
1217513a49347
1395b4bbb485
144bcbdc21a7
152919934dc1
hex17565beaa7

100233112231 has 32 divisors (see below), whose sum is σ = 122706432000. Its totient is φ = 81732964320.

The previous prime is 100233112207. The next prime is 100233112261. The reversal of 100233112231 is 132211332001.

It is not a de Polignac number, because 100233112231 - 27 = 100233112103 is a prime.

It is a super-2 number, since 2×1002331122312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100233112199 and 100233112208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100233112261) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 547461 + ... + 707233.

It is an arithmetic number, because the mean of its divisors is an integer number (3834576000).

Almost surely, 2100233112231 is an apocalyptic number.

100233112231 is a deficient number, since it is larger than the sum of its proper divisors (22473319769).

100233112231 is an equidigital number, since it uses as much as digits as its factorization.

100233112231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159884 (or 159870 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 100233112231 its reverse (132211332001), we get a palindrome (232444444232).

The spelling of 100233112231 in words is "one hundred billion, two hundred thirty-three million, one hundred twelve thousand, two hundred thirty-one".

Divisors: 1 7 31 49 59 217 343 413 1519 1829 2891 10633 12803 20237 89621 159773 627347 1118411 4952963 7828877 9426607 34670741 54802139 65986249 242695187 292224817 461903743 1698866309 2045573719 3233326201 14319016033 100233112231