Search a number
-
+
233022312131 = 7163859237749
BaseRepresentation
bin1101100100000100110…
…1100100111011000011
3211021110201120221200212
43121001031210323003
512304212202442011
6255014324504335
722556336654330
oct3310115447303
9737421527625
10233022312131
118a908025054
12391b284b0ab
1318c878ab43b
14b3c7a9d987
1560dc59d08b
hex3641364ec3

233022312131 has 16 divisors (see below), whose sum is σ = 268258080000. Its totient is φ = 198276126048.

The previous prime is 233022312077. The next prime is 233022312137. The reversal of 233022312131 is 131213220332.

It is a de Polignac number, because none of the positive numbers 2k-233022312131 is a prime.

It is a super-2 number, since 2×2330223121312 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 233022312097 and 233022312106.

It is not an unprimeable number, because it can be changed into a prime (233022312137) 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, 861245 + ... + 1098993.

It is an arithmetic number, because the mean of its divisors is an integer number (16766130000).

Almost surely, 2233022312131 is an apocalyptic number.

233022312131 is a deficient number, since it is larger than the sum of its proper divisors (35235767869).

233022312131 is a wasteful number, since it uses less digits than its factorization.

233022312131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238778.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 233022312131 its reverse (131213220332), we get a palindrome (364235532463).

The spelling of 233022312131 in words is "two hundred thirty-three billion, twenty-two million, three hundred twelve thousand, one hundred thirty-one".

Divisors: 1 7 163 859 1141 6013 140017 237749 980119 1664243 38753087 204226391 271271609 1429584737 33288901733 233022312131