Search a number
-
+
1032233001331 = 72281419178921
BaseRepresentation
bin11110000010101011110…
…00011010000101110011
310122200101002111112211011
433001111320122011303
5113403003122020311
62110111251331351
7134401460512600
oct17012570320563
93580332445734
101032233001331
11368849689974
121480788b0b57
13764541783ac
1437d6327d6a7
151bcb642a321
hexf055e1a173

1032233001331 has 24 divisors (see below), whose sum is σ = 1207916735760. Its totient is φ = 879513465600.

The previous prime is 1032233001263. The next prime is 1032233001377. The reversal of 1032233001331 is 1331003322301.

1032233001331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1032233001331 - 27 = 1032233001203 is a prime.

It is a super-2 number, since 2×10322330013312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1032233001131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5679751 + ... + 5858671.

It is an arithmetic number, because the mean of its divisors is an integer number (50329863990).

Almost surely, 21032233001331 is an apocalyptic number.

1032233001331 is a deficient number, since it is larger than the sum of its proper divisors (175683734429).

1032233001331 is a wasteful number, since it uses less digits than its factorization.

1032233001331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179635 (or 179628 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 1032233001331 its reverse (1331003322301), we get a palindrome (2363236323632).

The spelling of 1032233001331 in words is "one trillion, thirty-two billion, two hundred thirty-three million, one thousand, three hundred thirty-one".

Divisors: 1 7 49 281 419 1967 2933 13769 20531 117739 178921 824173 1252447 5769211 8767129 50276801 74967899 351937607 524775293 2463563249 3673427051 21065979619 147461857333 1032233001331