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31113111300120 = 2333561472269449
BaseRepresentation
bin1110001001100000101011…
…11100100110100000011000
311002011101101012222120202000
413010300111330212200120
513034224122443100440
6150101055505241000
76360563621336433
oct704602574464030
9132141335876660
1031113111300120
119a05aa6236973
1235a5b1a033160
131448c52688275
14797c4dcb281a
1538e4cb864730
hex1c4c15f26818

31113111300120 has 128 divisors (see below), whose sum is σ = 105410541240000. Its totient is φ = 8160816061440.

The previous prime is 31113111300119. The next prime is 31113111300137. The reversal of 31113111300120 is 2100311131113.

31113111300120 is a `hidden beast` number, since 31 + 1 + 1 + 311 + 1 + 300 + 1 + 20 = 666.

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 = 31113111300093 and 31113111300102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 236068845 + ... + 236200604.

Almost surely, 231113111300120 is an apocalyptic number.

31113111300120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31113111300120 is an abundant number, since it is smaller than the sum of its proper divisors (74297429939880).

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

31113111300120 is a wasteful number, since it uses less digits than its factorization.

31113111300120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472269530 (or 472269520 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 31113111300120 its reverse (2100311131113), we get a palindrome (33213422431233).

The spelling of 31113111300120 in words is "thirty-one trillion, one hundred thirteen billion, one hundred eleven million, three hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 61 72 90 108 120 122 135 180 183 216 244 270 305 360 366 488 540 549 610 732 915 1080 1098 1220 1464 1647 1830 2196 2440 2745 3294 3660 4392 5490 6588 7320 8235 10980 13176 16470 21960 32940 65880 472269449 944538898 1416808347 1889077796 2361347245 2833616694 3778155592 4250425041 4722694490 5667233388 7084041735 8500850082 9445388980 11334466776 12751275123 14168083470 17001700164 18890777960 21252125205 25502550246 28336166940 28808436389 34003400328 42504250410 51005100492 56672333880 57616872778 63756375615 85008500820 86425309167 102010200984 115233745556 127512751230 144042181945 170017001640 172850618334 230467491112 255025502460 259275927501 288084363890 345701236668 432126545835 510051004920 518551855002 576168727780 691402473336 777827782503 864253091670 1037103710004 1152337455560 1296379637505 1555655565006 1728506183340 2074207420008 2592759275010 3111311130012 3457012366680 3889138912515 5185518550020 6222622260024 7778277825030 10371037100040 15556555650060 31113111300120