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34021232400131 = 234368193386263
BaseRepresentation
bin1111011110001001011110…
…11110001101011100000011
311110110101202011220010211022
413233010233132031130003
513424400440443301011
6200205045521140055
710110644566000454
oct757045736153403
9143411664803738
1034021232400131
11a927361838149
123995661a8a62b
1315ca25b03c352
148588ca53712b
153dee84cda8db
hex1ef12f78d703

34021232400131 has 8 divisors (see below), whose sum is σ = 35500508171520. Its totient is φ = 32541964274952.

The previous prime is 34021232400109. The next prime is 34021232400139. The reversal of 34021232400131 is 13100423212043.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34021232400131 is a prime.

It is a super-3 number, since 3×340212324001313 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 34021232400131.

It is not an unprimeable number, because it can be changed into a prime (34021232400139) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8353706 + ... + 11739968.

It is an arithmetic number, because the mean of its divisors is an integer number (4437563521440).

Almost surely, 234021232400131 is an apocalyptic number.

34021232400131 is a deficient number, since it is larger than the sum of its proper divisors (1479275771389).

34021232400131 is a wasteful number, since it uses less digits than its factorization.

34021232400131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3823105.

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 34021232400131 its reverse (13100423212043), we get a palindrome (47121655612174).

The spelling of 34021232400131 in words is "thirty-four trillion, twenty-one billion, two hundred thirty-two million, four hundred thousand, one hundred thirty-one".

Divisors: 1 23 436819 3386263 10046837 77884049 1479184017397 34021232400131