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34214310241101 = 3247531526130079
BaseRepresentation
bin1111100011110001000111…
…10011101110001101001101
311111010212010002220201021100
413301320203303232031031
513441031401410203401
6200433500453253313
710130621334400014
oct761704363561515
9144125102821240
1034214310241101
11a9a1231190861
123a06b67334239
13161251b20b023
14863da5161a7b
153e4ed56beb86
hex1f1e23cee34d

34214310241101 has 24 divisors (see below), whose sum is σ = 51424479175680. Its totient is φ = 21903018879456.

The previous prime is 34214310241099. The next prime is 34214310241183. The reversal of 34214310241101 is 10114201341243.

It is a happy number.

34214310241101 is a `hidden beast` number, since 3 + 4 + 2 + 1 + 4 + 310 + 241 + 101 = 666.

It is not a de Polignac number, because 34214310241101 - 21 = 34214310241099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34214310221101) 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, 763042621 + ... + 763087458.

It is an arithmetic number, because the mean of its divisors is an integer number (2142686632320).

Almost surely, 234214310241101 is an apocalyptic number.

It is an amenable number.

34214310241101 is a deficient number, since it is larger than the sum of its proper divisors (17210168934579).

34214310241101 is a wasteful number, since it uses less digits than its factorization.

34214310241101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1526130185 (or 1526130182 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 34214310241101 its reverse (10114201341243), we get a palindrome (44328511582344).

The spelling of 34214310241101 in words is "thirty-four trillion, two hundred fourteen billion, three hundred ten million, two hundred forty-one thousand, one hundred one".

Divisors: 1 3 9 47 53 141 159 423 477 2491 7473 22419 1526130079 4578390237 13735170711 71728113713 80884894187 215184341139 242654682561 645553023417 727964047683 3801590026789 11404770080367 34214310241101