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3131333121 = 37537613697
BaseRepresentation
bin1011101010100100…
…0101101000000001
322002020011012111210
42322221011220001
522403110124441
61234415200333
7140411615040
oct27251055001
98066135453
103131333121
111367612a14
127348160a9
133ab978a47
14219c32557
15134d87616
hexbaa45a01

3131333121 has 32 divisors (see below), whose sum is σ = 4869289728. Its totient is φ = 1752791040.

The previous prime is 3131333119. The next prime is 3131333147. The reversal of 3131333121 is 1213331313.

It is not a de Polignac number, because 3131333121 - 21 = 3131333119 is a prime.

It is a super-2 number, since 2×31313331212 = 19610494229343201282, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (3131333111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 845145 + ... + 848841.

It is an arithmetic number, because the mean of its divisors is an integer number (152165304).

Almost surely, 23131333121 is an apocalyptic number.

It is an amenable number.

3131333121 is a deficient number, since it is larger than the sum of its proper divisors (1737956607).

3131333121 is a wasteful number, since it uses less digits than its factorization.

3131333121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4521.

The product of its digits is 486, while the sum is 21.

The square root of 3131333121 is about 55958.3159235515. The cubic root of 3131333121 is about 1462.9958377775.

Adding to 3131333121 its reverse (1213331313), we get a palindrome (4344664434).

The spelling of 3131333121 in words is "three billion, one hundred thirty-one million, three hundred thirty-three thousand, one hundred twenty-one".

Divisors: 1 3 7 21 53 159 371 761 1113 2283 3697 5327 11091 15981 25879 40333 77637 120999 195941 282331 587823 846993 1371587 2813417 4114761 8440251 19693919 59081757 149111101 447333303 1043777707 3131333121