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1311432023121 = 311193765985781
BaseRepresentation
bin10011000101010111011…
…100001001110001010001
311122101000221201101202220
4103011113130021301101
5132441303044214441
62442244043331253
7163514336162013
oct23052734116121
94571027641686
101311432023121
114661a2208390
121921b7b20b29
139688a69616c
144768b9981b3
15241a78a1466
hex13157709c51

1311432023121 has 64 divisors (see below), whose sum is σ = 2065356057600. Its totient is φ = 731504390400.

The previous prime is 1311432023107. The next prime is 1311432023173. The reversal of 1311432023121 is 1213202341131.

It is not a de Polignac number, because 1311432023121 - 215 = 1311431990353 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1311432023091 and 1311432023100.

It is not an unprimeable number, because it can be changed into a prime (1311432023021) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 15245251 + ... + 15331031.

It is an arithmetic number, because the mean of its divisors is an integer number (32271188400).

Almost surely, 21311432023121 is an apocalyptic number.

1311432023121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1311432023121 is a deficient number, since it is larger than the sum of its proper divisors (753924034479).

1311432023121 is a wasteful number, since it uses less digits than its factorization.

1311432023121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86510.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 1311432023121 its reverse (1213202341131), we get a palindrome (2524634364252).

The spelling of 1311432023121 in words is "one trillion, three hundred eleven billion, four hundred thirty-two million, twenty-three thousand, one hundred twenty-one".

Divisors: 1 3 11 19 33 37 57 111 209 407 627 659 703 1221 1977 2109 7249 7733 12521 21747 23199 24383 37563 73149 85781 137731 257343 268213 413193 463277 804639 943591 1389831 1629839 2830773 3173897 4889517 5096047 9521691 15288141 17928229 34912867 53784687 56529679 60304043 104738601 169589037 180912129 621826469 663344473 1074063901 1865479407 1990033419 2091598123 3222191703 6274794369 11814702911 23007579353 35444108733 39740364337 69022738059 119221093011 437144007707 1311432023121