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231201122021200 = 24521574448382763
BaseRepresentation
bin110100100100011010110100…
…101111111110111101010000
31010022121121111201022111202201
4310210122310233332331100
5220300444344214134300
62135420155034052544
766461505222520642
oct6444326457767520
91108547451274681
10231201122021200
1167738932a86641
1221b203abb7a154
139c012315a6ba6
1441142a052a892
151bae1122d966a
hexd246b4bfef50

231201122021200 has 120 divisors (see below), whose sum is σ = 559017982800288. Its totient is φ = 91888225328640.

The previous prime is 231201122021171. The next prime is 231201122021329. The reversal of 231201122021200 is 2120221102132.

It is a congruent number.

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, 2793491019 + ... + 2793573781.

Almost surely, 2231201122021200 is an apocalyptic number.

231201122021200 is a gapful number since it is divisible by the number (20) 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 231201122021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279508991400144).

231201122021200 is an abundant number, since it is smaller than the sum of its proper divisors (327816860779088).

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

231201122021200 is a wasteful number, since it uses less digits than its factorization.

231201122021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127421 (or 127410 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 231201122021200 its reverse (2120221102132), we get a palindrome (233321343123332).

The spelling of 231201122021200 in words is "two hundred thirty-one trillion, two hundred one billion, one hundred twenty-two million, twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 157 200 314 400 628 785 1256 1570 2512 3140 3925 6280 7850 12560 15700 31400 44483 62800 82763 88966 165526 177932 222415 331052 355864 413815 444830 662104 711728 827630 889660 1112075 1324208 1655260 1779320 2069075 2224150 3310520 3558640 4138150 4448300 6621040 6983831 8276300 8896600 12993791 13967662 16552600 17793200 25987582 27935324 33105200 34919155 51975164 55870648 64968955 69838310 103950328 111741296 129937910 139676620 174595775 207900656 259875820 279353240 324844775 349191550 519751640 558706480 649689550 698383100 1039503280 1299379100 1396766200 2598758200 2793532400 3681546529 5197516400 7363093058 14726186116 18407732645 29452372232 36815465290 58904744464 73630930580 92038663225 147261861160 184077326450 294523722320 368154652900 578002805053 736309305800 1156005610106 1472618611600 2312011220212 2890014025265 4624022440424 5780028050530 9248044880848 11560056101060 14450070126325 23120112202120 28900140252650 46240224404240 57800280505300 115600561010600 231201122021200