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312120203101 = 7611627449269
BaseRepresentation
bin1001000101010111101…
…00000101011101011101
31002211122012020010202021
410202223310011131131
520103210232444401
6355215215100141
731356425644420
oct4425364053535
91084565203667
10312120203101
11110407799283
12505a8511651
1323581b5b915
141116cacd9b7
1581bb7752a1
hex48abd0575d

312120203101 has 16 divisors (see below), whose sum is σ = 362780133760. Its totient is φ = 262983516480.

The previous prime is 312120203089. The next prime is 312120203117. The reversal of 312120203101 is 101302021213.

It is a cyclic number.

It is not a de Polignac number, because 312120203101 - 227 = 311985985373 is a prime.

It is a super-3 number, since 3×3121202031013 (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312120200101) 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, 470095 + ... + 919363.

It is an arithmetic number, because the mean of its divisors is an integer number (22673758360).

Almost surely, 2312120203101 is an apocalyptic number.

It is an amenable number.

312120203101 is a deficient number, since it is larger than the sum of its proper divisors (50659930659).

312120203101 is a wasteful number, since it uses less digits than its factorization.

312120203101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450964.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 312120203101 its reverse (101302021213), we get a palindrome (413422224314).

The spelling of 312120203101 in words is "three hundred twelve billion, one hundred twenty million, two hundred three thousand, one hundred one".

Divisors: 1 7 61 427 1627 11389 99247 449269 694729 3144883 27405409 191837863 730960663 5116724641 44588600443 312120203101