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122210103100 = 225215717214523
BaseRepresentation
bin111000111010001001…
…0100010111100111100
3102200110000212110222211
41301310102202330330
54000241241244400
6132050442350204
711554323510451
oct1616422427474
9380400773884
10122210103100
1147913465308
121b827abb364
13b6a8045497
145cb4a93828
1532a401adba
hex1c744a2f3c

122210103100 has 72 divisors (see below), whose sum is σ = 267099185808. Its totient is φ = 48533721600.

The previous prime is 122210103097. The next prime is 122210103107. The reversal of 122210103100 is 1301012221.

122210103100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1222101031002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122210103107) 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 23 ways as a sum of consecutive naturals, for example, 27017439 + ... + 27021961.

It is an arithmetic number, because the mean of its divisors is an integer number (3709710914).

Almost surely, 2122210103100 is an apocalyptic number.

122210103100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122210103100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133549592904).

122210103100 is an abundant number, since it is smaller than the sum of its proper divisors (144889082708).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122210103100 is a wasteful number, since it uses less digits than its factorization.

122210103100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6415 (or 6408 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 122210103100 its reverse (1301012221), we get a palindrome (123511115321).

The spelling of 122210103100 in words is "one hundred twenty-two billion, two hundred ten million, one hundred three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 157 314 628 785 1570 1721 3140 3442 3925 4523 6884 7850 8605 9046 15700 17210 18092 22615 34420 43025 45230 86050 90460 113075 172100 226150 270197 452300 540394 710111 1080788 1350985 1420222 2701970 2840444 3550555 5403940 6754925 7101110 7784083 13509850 14202220 15568166 17752775 27019700 31136332 35505550 38920415 71011100 77840830 155681660 194602075 389204150 778408300 1222101031 2444202062 4888404124 6110505155 12221010310 24442020620 30552525775 61105051550 122210103100