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3122121013 = 112374173233
BaseRepresentation
bin1011101000010111…
…1100100100110101
322001120211011212121
42322011330210311
522343230333023
61233445515541
7140240406424
oct27205744465
98046734777
103122121013
1113623a0800
12731712bb1
133a9aa19ab
142189152bb
15134167d5d
hexba17c935

3122121013 has 48 divisors (see below), whose sum is σ = 3675632688. Its totient is φ = 2645913600.

The previous prime is 3122120977. The next prime is 3122121061. The reversal of 3122121013 is 3101212213.

It can be written as a sum of positive squares in 8 ways, for example, as 99540529 + 3022580484 = 9977^2 + 54978^2 .

It is a de Polignac number, because none of the positive numbers 2k-3122121013 is a prime.

It is a super-2 number, since 2×31221210132 = 19495279239632292338, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3122121313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13399545 + ... + 13399777.

It is an arithmetic number, because the mean of its divisors is an integer number (76575681).

Almost surely, 23122121013 is an apocalyptic number.

It is an amenable number.

3122121013 is a deficient number, since it is larger than the sum of its proper divisors (553511675).

3122121013 is a wasteful number, since it uses less digits than its factorization.

3122121013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 395 counting only the distinct ones).

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

The square root of 3122121013 is about 55875.9430613927. The cubic root of 3122121013 is about 1461.5597600107.

Adding to 3122121013 its reverse (3101212213), we get a palindrome (6223333226).

The spelling of 3122121013 in words is "three billion, one hundred twenty-two million, one hundred twenty-one thousand, thirteen".

Divisors: 1 11 37 41 73 121 233 407 451 803 1517 2563 2701 2993 4477 4961 8621 8833 9553 16687 17009 28193 29711 32923 94831 105083 110741 183557 187099 326821 353461 362153 629333 697369 1043141 1155913 1218151 2058089 3888071 6922663 7671059 13399661 25802653 42768781 76149293 84381649 283829183 3122121013