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2142248121 = 33136103271
BaseRepresentation
bin111111110110000…
…0001110010111001
312112022000110222000
41333230001302321
513341403414441
6552323451213
7104041544226
oct17754016271
95468013860
102142248121
119aa2747a2
124b9526b09
13281a90a50
1416472694d
15c81102b6
hex7fb01cb9

2142248121 has 16 divisors (see below), whose sum is σ = 3417832320. Its totient is φ = 1318306320.

The previous prime is 2142248113. The next prime is 2142248137. The reversal of 2142248121 is 1218422412.

It is not a de Polignac number, because 2142248121 - 23 = 2142248113 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2142248161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3051285 + ... + 3051986.

It is an arithmetic number, because the mean of its divisors is an integer number (213614520).

Almost surely, 22142248121 is an apocalyptic number.

It is an amenable number.

2142248121 is a deficient number, since it is larger than the sum of its proper divisors (1275584199).

2142248121 is a wasteful number, since it uses less digits than its factorization.

2142248121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6103293 (or 6103287 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

The square root of 2142248121 is about 46284.4263332711. The cubic root of 2142248121 is about 1289.1098401894.

The spelling of 2142248121 in words is "two billion, one hundred forty-two million, two hundred forty-eight thousand, one hundred twenty-one".

Divisors: 1 3 9 13 27 39 117 351 6103271 18309813 54929439 79342523 164788317 238027569 714082707 2142248121