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31020122220100 = 225213291077689859
BaseRepresentation
bin1110000110110011011110…
…10111011010011001000100
311001211111100122121212200021
413003121233113122121010
513031213202242020400
6145550240350424524
76351062355241036
oct703315727323104
9131744318555607
1031020122220100
11997a618333812
12358baa8202144
131440253505cb0
1479354c011c56
1538bd87d9e71a
hex1c366f5da644

31020122220100 has 144 divisors (see below), whose sum is σ = 75692214763200. Its totient is φ = 10955279301120.

The previous prime is 31020122220049. The next prime is 31020122220119. The reversal of 31020122220100 is 102222102013.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 188971 + ... + 7878829.

It is an arithmetic number, because the mean of its divisors is an integer number (525640380300).

Almost surely, 231020122220100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31020122220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37846107381600).

31020122220100 is an abundant number, since it is smaller than the sum of its proper divisors (44672092543100).

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

31020122220100 is a wasteful number, since it uses less digits than its factorization.

31020122220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7690022 (or 7690015 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 31020122220100 its reverse (102222102013), we get a palindrome (31122344322113).

The spelling of 31020122220100 in words is "thirty-one trillion, twenty billion, one hundred twenty-two million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 29 50 52 58 65 100 107 116 130 145 214 260 290 325 377 428 535 580 650 725 754 1070 1300 1391 1450 1508 1885 2140 2675 2782 2900 3103 3770 5350 5564 6206 6955 7540 9425 10700 12412 13910 15515 18850 27820 31030 34775 37700 40339 62060 69550 77575 80678 139100 155150 161356 201695 310300 403390 806780 1008475 2016950 4033900 7689859 15379718 30759436 38449295 76898590 99968167 153797180 192246475 199936334 223005911 384492950 399872668 446011822 499840835 768985900 822814913 892023644 999681670 1115029555 1645629826 1999363340 2230059110 2499204175 2899076843 3291259652 4114074565 4460118220 4998408350 5575147775 5798153686 8228149130 9996816700 10696593869 11150295550 11596307372 14495384215 16456298260 20570372825 21393187738 22300591100 23861632477 28990768430 41140745650 42786375476 47723264954 53482969345 57981536860 72476921075 82281491300 95446529908 106965938690 119308162385 144953842150 213931877380 238616324770 267414846725 289907684300 310201222201 477232649540 534829693450 596540811925 620402444402 1069659386900 1193081623850 1240804888804 1551006111005 2386163247700 3102012222010 6204024444020 7755030555025 15510061110050 31020122220100