Search a number
-
+
103222222222301 = 7134638272962411
BaseRepresentation
bin10111011110000101001011…
…111000110111001111011101
3111112110221121010220100101122
4113132011023320313033131
5102012143102342103201
61003311344555420325
730512362615132430
oct2736051370671735
9445427533810348
10103222222222301
112a9873314a0626
12b6b11a94546a5
134579a76b82080
141b6bda7295817
15be00a835ee1b
hex5de14be373dd

103222222222301 has 32 divisors (see below), whose sum is σ = 127471119003648. Its totient is φ = 81395366754240.

The previous prime is 103222222222289. The next prime is 103222222222309.

103222222222301 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 103222222222301 - 238 = 102947344315357 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103222222222309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33362786 + ... + 36325196.

It is an arithmetic number, because the mean of its divisors is an integer number (3983472468864).

Almost surely, 2103222222222301 is an apocalyptic number.

It is an amenable number.

103222222222301 is a deficient number, since it is larger than the sum of its proper divisors (24248896781347).

103222222222301 is a wasteful number, since it uses less digits than its factorization.

103222222222301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2963721.

The product of its (nonzero) digits is 4608, while the sum is 26.

The spelling of 103222222222301 in words is "one hundred three trillion, two hundred twenty-two billion, two hundred twenty-two million, two hundred twenty-two thousand, three hundred one".

Divisors: 1 7 13 91 463 827 3241 5789 6019 10751 42133 75257 382901 2680307 2962411 4977713 20736877 34843991 38511343 269579401 1371596293 2449913897 9601174051 17149397279 17830751809 31848880661 124815262663 222942164627 1134310134311 7940170940177 14746031746043 103222222222301