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12201313210031 = 1123384712536141
BaseRepresentation
bin1011000110001101011011…
…1100001000111010101111
31121012102201111101202210102
42301203112330020322233
53044401242140210111
641541112250501315
72366341626036131
oct261432674107257
947172644352712
1012201313210031
113984603246150
12145084313483b
136a676aac06ca
1430279225d051
151625b67e413b
hexb18d6f08eaf

12201313210031 has 16 divisors (see below), whose sum is σ = 13892853431808. Its totient is φ = 10607078776800.

The previous prime is 12201313210003. The next prime is 12201313210111. The reversal of 12201313210031 is 13001231310221.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-12201313210031 is a prime.

It is a super-2 number, since 2×122013132100312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12201313209985 and 12201313210012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12201313210231) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5294780 + ... + 7241361.

It is an arithmetic number, because the mean of its divisors is an integer number (868303339488).

Almost surely, 212201313210031 is an apocalyptic number.

12201313210031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12201313210031 is a deficient number, since it is larger than the sum of its proper divisors (1691540221777).

12201313210031 is a wasteful number, since it uses less digits than its factorization.

12201313210031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12540022.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 12201313210031 its reverse (13001231310221), we get a palindrome (25202544520252).

The spelling of 12201313210031 in words is "twelve trillion, two hundred one billion, three hundred thirteen million, two hundred ten thousand, thirty-one".

Divisors: 1 11 23 253 3847 42317 88481 973291 12536141 137897551 288331243 3171643673 48226534427 530491878697 1109210291821 12201313210031