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31222120133100 = 22352138005671829
BaseRepresentation
bin1110001100101011101110…
…11000010011000111101100
311002112210202020100001120110
413012111313120103013230
513043020400223224400
6150223124411020020
76401503146205221
oct706256730230754
9132483666301513
1031222120133100
119a48254946586
123603080a3a610
13145630571b5c0
1479d2315a7948
1539225b922e50
hex1c65776131ec

31222120133100 has 72 divisors (see below), whose sum is σ = 97284924078160. Its totient is φ = 7685444954880.

The previous prime is 31222120133063. The next prime is 31222120133101. The reversal of 31222120133100 is 133102122213.

It is a super-2 number, since 2×312221201331002 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31222120133101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4002832015 + ... + 4002839814.

Almost surely, 231222120133100 is an apocalyptic number.

31222120133100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31222120133100 is an abundant number, since it is smaller than the sum of its proper divisors (66062803945060).

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

31222120133100 is a wasteful number, since it uses less digits than its factorization.

31222120133100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8005671859 (or 8005671852 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 31222120133100 its reverse (133102122213), we get a palindrome (31355222255313).

The spelling of 31222120133100 in words is "thirty-one trillion, two hundred twenty-two billion, one hundred twenty million, one hundred thirty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1950 3900 8005671829 16011343658 24017015487 32022687316 40028359145 48034030974 80056718290 96068061948 104073733777 120085077435 160113436580 200141795725 208147467554 240170154870 312221201331 400283591450 416294935108 480340309740 520368668885 600425387175 624442402662 800567182900 1040737337770 1200850774350 1248884805324 1561106006655 2081474675540 2401701548700 2601843344425 3122212013310 5203686688850 6244424026620 7805530033275 10407373377700 15611060066550 31222120133100