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34021232400233 = 132201309067457
BaseRepresentation
bin1111011110001001011110…
…11110001101011101101001
311110110101202011220010222002
413233010233132031131221
513424400440443301413
6200205045521140345
710110644566000661
oct757045736153551
9143411664803862
1034021232400233
11a927361838231
123995661a8a6b5
1315ca25b03c400
148588ca5371a1
153dee84cda958
hex1ef12f78d769

34021232400233 has 6 divisors (see below), whose sum is σ = 36839559344814. Its totient is φ = 31404214523136.

The previous prime is 34021232400227. The next prime is 34021232400241. The reversal of 34021232400233 is 33200423212043.

It can be written as a sum of positive squares in 3 ways, for example, as 1609924493584 + 32411307906649 = 1268828^2 + 5693093^2 .

It is not a de Polignac number, because 34021232400233 - 232 = 34016937432937 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 34021232400196 and 34021232400205.

It is not an unprimeable number, because it can be changed into a prime (34021232430233) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 100654533560 + ... + 100654533897.

It is an arithmetic number, because the mean of its divisors is an integer number (6139926557469).

Almost surely, 234021232400233 is an apocalyptic number.

It is an amenable number.

34021232400233 is a deficient number, since it is larger than the sum of its proper divisors (2818326944581).

34021232400233 is a wasteful number, since it uses less digits than its factorization.

34021232400233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201309067483 (or 201309067470 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 29.

Adding to 34021232400233 its reverse (33200423212043), we get a palindrome (67221655612276).

The spelling of 34021232400233 in words is "thirty-four trillion, twenty-one billion, two hundred thirty-two million, four hundred thousand, two hundred thirty-three".

Divisors: 1 13 169 201309067457 2617017876941 34021232400233