Search a number
-
+
2123323330032 = 24341638366767
BaseRepresentation
bin11110111001011111111…
…011101100110111110000
321111222200001110010020000
4132321133323230313300
5234242031233030112
64303235151550000
7306255634341222
oct36713773546760
97458601403200
102123323330032
11749550734a53
122a362082b300
131252c810bac8
1474aab326412
153a374ae37dc
hex1ee5feecdf0

2123323330032 has 50 divisors (see below), whose sum is σ = 6145513746768. Its totient is φ = 707774442912.

The previous prime is 2123323329931. The next prime is 2123323330133. The reversal of 2123323330032 is 2300333233212.

2123323330032 is a `hidden beast` number, since 2 + 1 + 2 + 3 + 323 + 3 + 300 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (2123323329931) and next prime (2123323330133).

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

It is a junction number, because it is equal to n+sod(n) for n = 2123323329978 and 2123323330005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 819182088 + ... + 819184679.

Almost surely, 22123323330032 is an apocalyptic number.

It is an amenable number.

2123323330032 is an abundant number, since it is smaller than the sum of its proper divisors (4022190416736).

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

2123323330032 is a wasteful number, since it uses less digits than its factorization.

2123323330032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1638366787 (or 1638366772 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 2123323330032 its reverse (2300333233212), we get a palindrome (4423656563244).

The spelling of 2123323330032 in words is "two trillion, one hundred twenty-three billion, three hundred twenty-three million, three hundred thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 1638366767 3276733534 4915100301 6553467068 9830200602 13106934136 14745300903 19660401204 26213868272 29490601806 39320802408 44235902709 58981203612 78641604816 88471805418 117962407224 132707708127 176943610836 235924814448 265415416254 353887221672 530830832508 707774443344 1061661665016 2123323330032