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2153531031 = 343831391447
BaseRepresentation
bin1000000001011100…
…0100011010010111
312120002020201012120
42000113010122113
513402300443111
6553405351023
7104236466061
oct20027043227
95502221176
102153531031
11a05680813
12501268473
13284211522
14166022731
15c90dd406
hex805c4697

2153531031 has 32 divisors (see below), whose sum is σ = 2997012480. Its totient is φ = 1374486624.

The previous prime is 2153531021. The next prime is 2153531059. The reversal of 2153531031 is 1301353512.

It is not a de Polignac number, because 2153531031 - 211 = 2153528983 is a prime.

It is a super-2 number, since 2×21535310312 = 9275391802959845922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2153530992 and 2153531010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2153531021) 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, 1487550 + ... + 1488996.

It is an arithmetic number, because the mean of its divisors is an integer number (93656640).

Almost surely, 22153531031 is an apocalyptic number.

2153531031 is a deficient number, since it is larger than the sum of its proper divisors (843481449).

2153531031 is a wasteful number, since it uses less digits than its factorization.

2153531031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1715.

The product of its (nonzero) digits is 1350, while the sum is 24.

The square root of 2153531031 is about 46406.1529433328. The cubic root of 2153531031 is about 1291.3690633095.

Adding to 2153531031 its reverse (1301353512), we get a palindrome (3454884543).

The spelling of 2153531031 in words is "two billion, one hundred fifty-three million, five hundred thirty-one thousand, thirty-one".

Divisors: 1 3 43 83 129 139 249 417 1447 3569 4341 5977 10707 11537 17931 34611 62221 120101 186663 201133 360303 496091 603399 1488273 5164343 8648719 15493029 16694039 25946157 50082117 717843677 2153531031