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83274347101 = 11236740112251
BaseRepresentation
bin100110110001110001…
…0011011001001011101
321221221112101010210211
41031203202123021131
52331021213101401
6102131122132421
76005421162031
oct1154342331135
9257845333724
1083274347101
113235321a570
12141804b1111
137b116049ca
14405d9981c1
152275ba5951
hex136389b25d

83274347101 has 32 divisors (see below), whose sum is σ = 96457153536. Its totient is φ = 71148000000.

The previous prime is 83274347081. The next prime is 83274347111. The reversal of 83274347101 is 10174347238.

It is a de Polignac number, because none of the positive numbers 2k-83274347101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83274347111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6791226 + ... + 6803476.

It is an arithmetic number, because the mean of its divisors is an integer number (3014286048).

Almost surely, 283274347101 is an apocalyptic number.

It is an amenable number.

83274347101 is a deficient number, since it is larger than the sum of its proper divisors (13182806435).

83274347101 is a wasteful number, since it uses less digits than its factorization.

83274347101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12753.

The product of its (nonzero) digits is 112896, while the sum is 40.

It can be divided in two parts, 832743 and 47101, that added together give a square (879844 = 9382).

The spelling of 83274347101 in words is "eighty-three billion, two hundred seventy-four million, three hundred forty-seven thousand, one hundred one".

Divisors: 1 11 23 67 253 401 737 1541 4411 9223 12251 16951 26867 101453 134761 281773 295537 617941 820817 3099503 4912651 6797351 9028987 18878791 54039161 112990973 207666701 329147617 1242900703 3620623787 7570395191 83274347101