Search a number
-
+
233102240033 = 13292437253717
BaseRepresentation
bin1101100100010111111…
…0011110100100100001
3211021200021222201011112
43121011332132210201
512304343133140113
6255030301553105
722561330230305
oct3310576364441
9737607881145
10233102240033
118a949157073
1239215575795
1318c9b314a60
14b3d4547d05
1560e45da5a8
hex3645f9e921

233102240033 has 16 divisors (see below), whose sum is σ = 259797083280. Its totient is φ = 207665531136.

The previous prime is 233102240027. The next prime is 233102240039. The reversal of 233102240033 is 330042201332.

It is an interprime number because it is at equal distance from previous prime (233102240027) and next prime (233102240039).

It can be written as a sum of positive squares in 8 ways, for example, as 4721476369 + 228380763664 = 68713^2 + 477892^2 .

It is not a de Polignac number, because 233102240033 - 224 = 233085462817 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 233102239990 and 233102240008.

It is not an unprimeable number, because it can be changed into a prime (233102240039) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 791891 + ... + 1045607.

It is an arithmetic number, because the mean of its divisors is an integer number (16237317705).

Almost surely, 2233102240033 is an apocalyptic number.

It is an amenable number.

233102240033 is a deficient number, since it is larger than the sum of its proper divisors (26694843247).

233102240033 is a wasteful number, since it uses less digits than its factorization.

233102240033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256196.

The product of its (nonzero) digits is 2592, while the sum is 23.

Adding to 233102240033 its reverse (330042201332), we get a palindrome (563144441365).

The spelling of 233102240033 in words is "two hundred thirty-three billion, one hundred two million, two hundred forty thousand, thirty-three".

Divisors: 1 13 29 377 2437 31681 70673 253717 918749 3298321 7357793 95651309 618308329 8038008277 17930941541 233102240033