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2121355434 = 2311194735993
BaseRepresentation
bin111111001110001…
…0101000010101010
312110211201000120210
41332130111002222
513321031333214
6550300001550
7103366136502
oct17634250252
95424630523
102121355434
119994a4810
124b25302b6
1327a657203
14161a48a02
15c6384b59
hex7e7150aa

2121355434 has 64 divisors (see below), whose sum is σ = 4975810560. Its totient is φ = 596027520.

The previous prime is 2121355433. The next prime is 2121355477. The reversal of 2121355434 is 4345531212.

It is a super-2 number, since 2×21213554342 = 9000297754722656712, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2121355433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40942 + ... + 76934.

It is an arithmetic number, because the mean of its divisors is an integer number (77747040).

Almost surely, 22121355434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2121355434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2487905280).

2121355434 is an abundant number, since it is smaller than the sum of its proper divisors (2854455126).

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

2121355434 is a wasteful number, since it uses less digits than its factorization.

2121355434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36075.

The product of its digits is 14400, while the sum is 30.

The square root of 2121355434 is about 46058.1744536190. The cubic root of 2121355434 is about 1284.9053782265.

Adding to 2121355434 its reverse (4345531212), we get a palindrome (6466886646).

The spelling of 2121355434 in words is "two billion, one hundred twenty-one million, three hundred fifty-five thousand, four hundred thirty-four".

Divisors: 1 2 3 6 11 19 22 33 38 47 57 66 94 114 141 209 282 418 517 627 893 1034 1254 1551 1786 2679 3102 5358 9823 19646 29469 35993 58938 71986 107979 215958 395923 683867 791846 1187769 1367734 1691671 2051601 2375538 3383342 4103202 5075013 7522537 10150026 15045074 18608381 22567611 32141749 37216762 45135222 55825143 64283498 96425247 111650286 192850494 353559239 707118478 1060677717 2121355434