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2121100542 = 23211291093389
BaseRepresentation
bin111111001101101…
…0110110011111110
312110211020001221100
41332123112303332
513321000204132
6550250313530
7103364025411
oct17633266376
95424201840
102121100542
11999340260
124b24288a6
1327a5981a2
141619bdb78
15c633437c
hex7e6d6cfe

2121100542 has 96 divisors (see below), whose sum is σ = 5235516000. Its totient is φ = 614718720.

The previous prime is 2121100493. The next prime is 2121100547. The reversal of 2121100542 is 2450011212.

2121100542 is a `hidden beast` number, since 2 + 1 + 21 + 100 + 542 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121100547) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 624184 + ... + 627572.

It is an arithmetic number, because the mean of its divisors is an integer number (54536625).

Almost surely, 22121100542 is an apocalyptic number.

2121100542 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2121100542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2617758000).

2121100542 is an abundant number, since it is smaller than the sum of its proper divisors (3114415458).

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

2121100542 is a wasteful number, since it uses less digits than its factorization.

2121100542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3546 (or 3543 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 2121100542 is about 46055.4073046803. The cubic root of 2121100542 is about 1284.8539134547.

Adding to 2121100542 its reverse (2450011212), we get a palindrome (4571111754).

The spelling of 2121100542 in words is "two billion, one hundred twenty-one million, one hundred thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 29 33 58 66 87 99 109 174 198 218 261 319 327 522 638 654 957 981 1199 1914 1962 2398 2871 3161 3389 3597 5742 6322 6778 7194 9483 10167 10791 18966 20334 21582 28449 30501 34771 37279 56898 61002 69542 74558 98281 104313 111837 196562 208626 223674 294843 312939 335511 369401 589686 625878 671022 738802 884529 1081091 1108203 1769058 2162182 2216406 3243273 3324609 4063411 6486546 6649218 8126822 9729819 10712629 12190233 19459638 21425258 24380466 32137887 36570699 64275774 73141398 96413661 117838919 192827322 235677838 353516757 707033514 1060550271 2121100542