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2153321541 = 327172010571
BaseRepresentation
bin1000000001011001…
…0001010001000101
312120001212001211200
42000112101101011
513402222242131
6553401053113
7104234634240
oct20026212105
95501761750
102153321541
11a05548388
12501187199
1328416a077
14165daa257
15c909b2e6
hex80591445

2153321541 has 24 divisors (see below), whose sum is σ = 3763790784. Its totient is φ = 1158088320.

The previous prime is 2153321537. The next prime is 2153321549. The reversal of 2153321541 is 1451233512.

It is not a de Polignac number, because 2153321541 - 22 = 2153321537 is a prime.

It is a super-2 number, since 2×21533215412 = 9273587317869229362, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2153321549) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1004215 + ... + 1006356.

It is an arithmetic number, because the mean of its divisors is an integer number (156824616).

Almost surely, 22153321541 is an apocalyptic number.

2153321541 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2153321541 is a deficient number, since it is larger than the sum of its proper divisors (1610469243).

2153321541 is a wasteful number, since it uses less digits than its factorization.

2153321541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2010601 (or 2010598 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 2153321541 is about 46403.8957524042. The cubic root of 2153321541 is about 1291.3271882566.

The spelling of 2153321541 in words is "two billion, one hundred fifty-three million, three hundred twenty-one thousand, five hundred forty-one".

Divisors: 1 3 7 9 17 21 51 63 119 153 357 1071 2010571 6031713 14073997 18095139 34179707 42221991 102539121 126665973 239257949 307617363 717773847 2153321541