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21034213434 = 2331331966557
BaseRepresentation
bin10011100101101111…
…001010000000111010
32000021220120202101000
4103211233022000322
5321034224312214
613355112105430
71343150602263
oct234557120072
960256522330
1021034213434
118a142a0973
1240b0395276
131ca2a33850
1410377bb96a
15831959809
hex4e5bca03a

21034213434 has 64 divisors (see below), whose sum is σ = 51962158080. Its totient is φ = 6263282880.

The previous prime is 21034213433. The next prime is 21034213469. The reversal of 21034213434 is 43431243012.

21034213434 is a `hidden beast` number, since 2 + 10 + 3 + 4 + 213 + 434 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 21034213398 and 21034213407.

It is not an unprimeable number, because it can be changed into a prime (21034213433) 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 31 ways as a sum of consecutive naturals, for example, 461517 + ... + 505040.

It is an arithmetic number, because the mean of its divisors is an integer number (811908720).

Almost surely, 221034213434 is an apocalyptic number.

21034213434 is an abundant number, since it is smaller than the sum of its proper divisors (30927944646).

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

21034213434 is a wasteful number, since it uses less digits than its factorization.

21034213434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966612 (or 966606 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 21034213434 its reverse (43431243012), we get a palindrome (64465456446).

The spelling of 21034213434 in words is "twenty-one billion, thirty-four million, two hundred thirteen thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 27 31 39 54 62 78 93 117 186 234 279 351 403 558 702 806 837 1209 1674 2418 3627 7254 10881 21762 966557 1933114 2899671 5799342 8699013 12565241 17398026 25130482 26097039 29963267 37695723 52194078 59926534 75391446 89889801 113087169 179779602 226174338 269669403 339261507 389522471 539338806 678523014 779044942 809008209 1168567413 1618016418 2337134826 3505702239 7011404478 10517106717 21034213434