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12320311034031 = 371113109367102559
BaseRepresentation
bin1011001101001000101111…
…0000110100000010101111
31121121210212122210120021020
42303102023300310002233
53103323444111042111
642111512303105223
72411053535615460
oct263221360640257
947553778716236
1012320311034031
113a20018430640
12146b9132a2213
136b4a53488310
1430844044cd67
1516572d7d8906
hexb348bc340af

12320311034031 has 128 divisors (see below), whose sum is σ = 22319156428800. Its totient is φ = 5837634178560.

The previous prime is 12320311034011. The next prime is 12320311034047. The reversal of 12320311034031 is 13043011302321.

It is not a de Polignac number, because 12320311034031 - 29 = 12320311033519 is a prime.

It is a super-2 number, since 2×123203110340312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12320311033992 and 12320311034010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12320311034011) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 120077730 + ... + 120180288.

It is an arithmetic number, because the mean of its divisors is an integer number (174368409600).

Almost surely, 212320311034031 is an apocalyptic number.

12320311034031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12320311034031 is a deficient number, since it is larger than the sum of its proper divisors (9998845394769).

12320311034031 is a wasteful number, since it uses less digits than its factorization.

12320311034031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103069.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 12320311034031 its reverse (13043011302321), we get a palindrome (25363322336352).

The spelling of 12320311034031 in words is "twelve trillion, three hundred twenty billion, three hundred eleven million, thirty-four thousand, thirty-one".

Divisors: 1 3 7 11 13 21 33 39 77 91 109 143 231 273 327 367 429 763 1001 1101 1199 1417 2289 2569 3003 3597 4037 4251 4771 7707 8393 9919 12111 14313 15587 25179 28259 29757 33397 40003 46761 52481 84777 100191 102559 109109 120009 157443 280021 307677 327327 367367 440033 520039 717913 840063 1102101 1128149 1320099 1333267 1560117 2153739 3080231 3384447 3640273 3999801 5720429 7897043 9240693 9332869 10920819 11178931 14665937 17161287 23691129 27998607 33536793 37639153 40043003 43997811 78252517 102661559 112917459 120129009 122968241 145326103 234757551 263474071 307984677 368904723 414030683 435978309 489308989 790422213 860777687 1017282721 1242092049 1467926967 1598587133 2582333061 2898214781 3051848163 3425162923 4102667677 4795761399 5382398879 8694644343 10275488769 11190109931 12308003031 16147196637 28718673739 33570329793 37676792153 45129344447 53334679801 86156021217 113030376459 135388033341 160004039403 315905411129 373342758607 586681477811 947716233387 1120028275821 1760044433433 4106770344677 12320311034031