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2124154120 = 235114827623
BaseRepresentation
bin111111010011100…
…0000010100001000
312111000222012122211
41332213000110020
513322240412440
6550435554504
7103432004104
oct17647002410
95430865584
102124154120
119a0036480
124b345ba34
1327b0c703a
14162176904
15c6738eea
hex7e9c0508

2124154120 has 32 divisors (see below), whose sum is σ = 5213833920. Its totient is φ = 772419520.

The previous prime is 2124154099. The next prime is 2124154141. The reversal of 2124154120 is 214514212.

It is an interprime number because it is at equal distance from previous prime (2124154099) and next prime (2124154141).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 2124154091 and 2124154100.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2413372 + ... + 2414251.

It is an arithmetic number, because the mean of its divisors is an integer number (162932310).

Almost surely, 22124154120 is an apocalyptic number.

2124154120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2124154120 is an abundant number, since it is smaller than the sum of its proper divisors (3089679800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2124154120 is a wasteful number, since it uses less digits than its factorization.

2124154120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4827645 (or 4827641 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 2124154120 is about 46088.5465164611. The cubic root of 2124154120 is about 1285.4701847935.

Adding to 2124154120 its reverse (214514212), we get a palindrome (2338668332).

The spelling of 2124154120 in words is "two billion, one hundred twenty-four million, one hundred fifty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 4827623 9655246 19310492 24138115 38620984 48276230 53103853 96552460 106207706 193104920 212415412 265519265 424830824 531038530 1062077060 2124154120