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1311102061125 = 35331831358831
BaseRepresentation
bin10011000101000011110…
…001011100101001000101
311122100011221211121000020
4103011003301130221011
5132440114111424000
62442151215205353
7163503221432463
oct23050361345105
94570157747006
101311102061125
11466042a2a01a
12192125516859
139683720778c
1447659c25833
1524188924ba0
hex13143c5ca45

1311102061125 has 64 divisors (see below), whose sum is σ = 2279185219584. Its totient is φ = 668544360000.

The previous prime is 1311102061109. The next prime is 1311102061133. The reversal of 1311102061125 is 5211602011131.

It is not a de Polignac number, because 1311102061125 - 24 = 1311102061109 is a prime.

It is a super-2 number, since 2×13111020611252 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1311102061095 and 1311102061104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 285460 + ... + 1644290.

It is an arithmetic number, because the mean of its divisors is an integer number (35612269056).

Almost surely, 21311102061125 is an apocalyptic number.

1311102061125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1311102061125 is a deficient number, since it is larger than the sum of its proper divisors (968083158459).

1311102061125 is a wasteful number, since it uses less digits than its factorization.

1311102061125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1358963 (or 1358953 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 24.

Adding to 1311102061125 its reverse (5211602011131), we get a palindrome (6522704072256).

The spelling of 1311102061125 in words is "one trillion, three hundred eleven billion, one hundred two million, sixty-one thousand, one hundred twenty-five".

Divisors: 1 3 5 15 25 31 75 83 93 125 155 249 375 415 465 775 1245 2075 2325 2573 3875 6225 7719 10375 11625 12865 31125 38595 64325 192975 321625 964875 1358831 4076493 6794155 20382465 33970775 42123761 101912325 112782973 126371283 169853875 210618805 338348919 509561625 563914865 631856415 1053094025 1691744595 2819574325 3159282075 3496272163 5265470125 8458722975 10488816489 14097871625 15796410375 17481360815 42293614875 52444082445 87406804075 262220412225 437034020375 1311102061125