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2122134540 = 2235293120713
BaseRepresentation
bin111111001111101…
…0011010000001100
312110220011121022120
41332133103100030
513321231301130
6550324412540
7103405563111
oct17637232014
95426147276
102122134540
119999870a9
124b2847150
1327a86aa16
14161bac908
15c648a910
hex7e7d340c

2122134540 has 48 divisors (see below), whose sum is σ = 5962305888. Its totient is φ = 563966464.

The previous prime is 2122134523. The next prime is 2122134541. The reversal of 2122134540 is 454312212.

It is a super-2 number, since 2×21221345402 = 9006910011722023200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2122134540.

It is not an unprimeable number, because it can be changed into a prime (2122134541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42777 + ... + 77936.

It is an arithmetic number, because the mean of its divisors is an integer number (124214706).

Almost surely, 22122134540 is an apocalyptic number.

2122134540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122134540 is an abundant number, since it is smaller than the sum of its proper divisors (3840171348).

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

2122134540 is a wasteful number, since it uses less digits than its factorization.

2122134540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121018 (or 121016 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2122134540 is about 46066.6315243474. The cubic root of 2122134540 is about 1285.0626605225.

Adding to 2122134540 its reverse (454312212), we get a palindrome (2576446752).

The spelling of 2122134540 in words is "two billion, one hundred twenty-two million, one hundred thirty-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 293 586 879 1172 1465 1758 2930 3516 4395 5860 8790 17580 120713 241426 362139 482852 603565 724278 1207130 1448556 1810695 2414260 3621390 7242780 35368909 70737818 106106727 141475636 176844545 212213454 353689090 424426908 530533635 707378180 1061067270 2122134540