Search a number
-
+
211202023111232 = 267368696581149
BaseRepresentation
bin110000000001011001001101…
…100100000011101001000000
31000200210201100010102010020212
4300001121031210003221000
5210140313220404024412
62025104511525253252
762325562006564466
oct6001311544035100
91020721303363225
10211202023111232
116132830302590a
121b83044a264228
1390b035ababa2a
143a22337c30836
151963cb15e8222
hexc0164d903a40

211202023111232 has 56 divisors (see below), whose sum is σ = 424907079699000. Its totient is φ = 104139243565056.

The previous prime is 211202023111217. The next prime is 211202023111297. The reversal of 211202023111232 is 232111320202112.

It can be written as a sum of positive squares in 4 ways, for example, as 9424998240256 + 201777024870976 = 3070016^2 + 14204824^2 .

It is a junction number, because it is equal to n+sod(n) for n = 211202023111198 and 211202023111207.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28801394 + ... + 35382542.

Almost surely, 2211202023111232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211202023111232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212453539849500).

211202023111232 is an abundant number, since it is smaller than the sum of its proper divisors (213705056587768).

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

211202023111232 is an equidigital number, since it uses as much as digits as its factorization.

211202023111232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6588103 (or 6588093 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 211202023111232 its reverse (232111320202112), we get a palindrome (443313343313344).

The spelling of 211202023111232 in words is "two hundred eleven trillion, two hundred two billion, twenty-three million, one hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 73 146 292 584 1168 2336 4672 6869 13738 27476 54952 109904 219808 439616 501437 1002874 2005748 4011496 6581149 8022992 13162298 16045984 26324596 32091968 52649192 105298384 210596768 421193536 480423877 960847754 1921695508 3843391016 7686782032 15373564064 30747128128 45205912481 90411824962 180823649924 361647299848 723294599696 1446589199392 2893178398784 3300031611113 6600063222226 13200126444452 26400252888904 52800505777808 105601011555616 211202023111232