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2121023556 = 22356732569
BaseRepresentation
bin111111001101100…
…0100000001000100
312110211002011100000
41332123010001010
513320440223211
6550244521300
7103363255101
oct17633040104
95424064300
102121023556
11999298433
124b23b0230
1327a56c132
1416199daa8
15c631b656
hex7e6c4044

2121023556 has 72 divisors (see below), whose sum is σ = 5643208480. Its totient is φ = 696434112.

The previous prime is 2121023551. The next prime is 2121023563. The reversal of 2121023556 is 6553201212.

It is a happy number.

2121023556 is a `hidden beast` number, since 2 + 1 + 2 + 102 + 3 + 556 = 666.

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 (2121023551) 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 23 ways as a sum of consecutive naturals, for example, 48840 + ... + 81408.

Almost surely, 22121023556 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2121023556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2821604240).

2121023556 is an abundant number, since it is smaller than the sum of its proper divisors (3522184924).

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

2121023556 is a wasteful number, since it uses less digits than its factorization.

2121023556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32655 (or 32641 counting only the distinct ones).

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

The square root of 2121023556 is about 46054.5714994722. The cubic root of 2121023556 is about 1284.8383685432.

Adding to 2121023556 its reverse (6553201212), we get a palindrome (8674224768).

The spelling of 2121023556 in words is "two billion, one hundred twenty-one million, twenty-three thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 67 81 108 134 162 201 243 268 324 402 486 603 804 972 1206 1809 2412 3618 5427 7236 10854 16281 21708 32562 32569 65124 65138 97707 130276 195414 293121 390828 586242 879363 1172484 1758726 2182123 2638089 3517452 4364246 5276178 6546369 7914267 8728492 10552356 13092738 15828534 19639107 26185476 31657068 39278214 58917321 78556428 117834642 176751963 235669284 353503926 530255889 707007852 1060511778 2121023556