Search a number
-
+
122013132100 = 22524364144267
BaseRepresentation
bin111000110100010001…
…1001010010101000100
3102122221022020022120121
41301220203022111010
53444340330211400
6132015124511324
711546412340126
oct1615043122504
9378838208517
10122013132100
1147822261062
121b791b4b544
13b6762abab2
145c9685d216
153291aae21a
hex1c688ca544

122013132100 has 72 divisors (see below), whose sum is σ = 271354694688. Its totient is φ = 47594803200.

The previous prime is 122013132079. The next prime is 122013132119. The reversal of 122013132100 is 1231310221.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2734167 + ... + 2778433.

It is an arithmetic number, because the mean of its divisors is an integer number (3768815204).

Almost surely, 2122013132100 is an apocalyptic number.

122013132100 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 122013132100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135677347344).

122013132100 is an abundant number, since it is smaller than the sum of its proper divisors (149341562588).

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

122013132100 is a wasteful number, since it uses less digits than its factorization.

122013132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44965 (or 44958 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 122013132100 its reverse (1231310221), we get a palindrome (123244442321).

The spelling of 122013132100 in words is "one hundred twenty-two billion, thirteen million, one hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 43 50 86 100 172 215 430 641 860 1075 1282 2150 2564 3205 4300 6410 12820 16025 27563 32050 44267 55126 64100 88534 110252 137815 177068 221335 275630 442670 551260 689075 885340 1106675 1378150 1903481 2213350 2756300 3806962 4426700 7613924 9517405 19034810 28375147 38069620 47587025 56750294 95174050 113500588 141875735 190348100 283751470 567502940 709378675 1220131321 1418757350 2440262642 2837514700 4880525284 6100656605 12201313210 24402626420 30503283025 61006566050 122013132100