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31111020222030 = 2325777171639911
BaseRepresentation
bin1110001001011100110010…
…10011110001011001001110
311002011011222111020210212100
413010232121103301121032
513034210332134101110
6150100112210215530
76360461040432030
oct704563123613116
9132134874223770
1031111020222030
119a05122941a61
1235a56358845a6
1314489ab3a2358
14797ad22a9c50
1538e407eb0bc0
hex1c4b994f164e

31111020222030 has 96 divisors (see below), whose sum is σ = 92445516753408. Its totient is φ = 7110987076800.

The previous prime is 31111020221999. The next prime is 31111020222049. The reversal of 31111020222030 is 3022202011113.

31111020222030 is a `hidden beast` number, since 311 + 1 + 102 + 0 + 2 + 220 + 30 = 666.

It is a super-3 number, since 3×311110202220303 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 31111020221994 and 31111020222012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48297775 + ... + 48937685.

It is an arithmetic number, because the mean of its divisors is an integer number (962974132848).

Almost surely, 231111020222030 is an apocalyptic number.

31111020222030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

31111020222030 is an abundant number, since it is smaller than the sum of its proper divisors (61334496531378).

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

31111020222030 is a wasteful number, since it uses less digits than its factorization.

31111020222030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717102 (or 717099 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 31111020222030 its reverse (3022202011113), we get a palindrome (34133222233143).

The spelling of 31111020222030 in words is "thirty-one trillion, one hundred eleven billion, twenty million, two hundred twenty-two thousand, thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 77171 154342 231513 385855 463026 540197 639911 694539 771710 1080394 1157565 1279822 1389078 1620591 1919733 2315130 2700985 3199555 3241182 3472695 3839466 4479377 4861773 5401970 5759199 6399110 6945390 8102955 8958754 9598665 9723546 11518398 13438131 16205910 19197330 22396885 24308865 26876262 28795995 40314393 44793770 48617730 57591990 67190655 80628786 134381310 201571965 403143930 49382571781 98765143562 148147715343 246912858905 296295430686 345678002467 444443146029 493825717810 691356004934 740738576715 888886292058 1037034007401 1481477153430 1728390012335 2074068014802 2222215730145 3111102022203 3456780024670 4444431460290 5185170037005 6222204044406 10370340074010 15555510111015 31111020222030