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2154140121 = 37312173617
BaseRepresentation
bin1000000001100101…
…1001000111011001
312120010101122201110
42000121121013121
513402424440441
6553430410533
7104244613620
oct20031310731
95503348643
102154140121
11a05a573a1
12501500a49
13284395833
141661406b7
15c91adb16
hex806591d9

2154140121 has 48 divisors (see below), whose sum is σ = 3416936832. Its totient is φ = 1182424320.

The previous prime is 2154140063. The next prime is 2154140147. The reversal of 2154140121 is 1210414512.

It is not a de Polignac number, because 2154140121 - 27 = 2154139993 is a prime.

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 (2154140921) 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 47 ways as a sum of consecutive naturals, for example, 3491005 + ... + 3491621.

It is an arithmetic number, because the mean of its divisors is an integer number (71186184).

Almost surely, 22154140121 is an apocalyptic number.

2154140121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2154140121 is a deficient number, since it is larger than the sum of its proper divisors (1262796711).

2154140121 is a wasteful number, since it uses less digits than its factorization.

2154140121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 2154140121 is about 46412.7150789522. The cubic root of 2154140121 is about 1291.4907991669.

Adding to 2154140121 its reverse (1210414512), we get a palindrome (3364554633).

The spelling of 2154140121 in words is "two billion, one hundred fifty-four million, one hundred forty thousand, one hundred twenty-one".

Divisors: 1 3 7 21 31 93 173 217 519 617 651 961 1211 1851 2883 3633 4319 5363 6727 12957 16089 19127 20181 37541 57381 106741 112623 133889 166253 320223 401667 498759 592937 747187 1163771 1778811 2241561 3308971 3491313 4150559 9926913 12451677 23162797 69488391 102578101 307734303 718046707 2154140121