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21133433430 = 23251949924767
BaseRepresentation
bin10011101011101001…
…101001101001010110
32000112211021122121200
4103223221221221112
5321240124332210
613413014453330
71345464135354
oct235351515126
960484248550
1021133433430
118a652aa36a
124119664246
131cba4632c5
141046a487d4
1583a5080c0
hex4eba69a56

21133433430 has 96 divisors (see below), whose sum is σ = 57957120000. Its totient is φ = 5328058176.

The previous prime is 21133433383. The next prime is 21133433473. The reversal of 21133433430 is 3433433112.

It is a junction number, because it is equal to n+sod(n) for n = 21133433394 and 21133433403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 840907 + ... + 865673.

It is an arithmetic number, because the mean of its divisors is an integer number (603720000).

Almost surely, 221133433430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21133433430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28978560000).

21133433430 is an abundant number, since it is smaller than the sum of its proper divisors (36823686570).

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

21133433430 is a wasteful number, since it uses less digits than its factorization.

21133433430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25298 (or 25295 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 21133433430 its reverse (3433433112), we get a palindrome (24566866542).

The spelling of 21133433430 in words is "twenty-one billion, one hundred thirty-three million, four hundred thirty-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 499 570 855 998 1497 1710 2495 2994 4491 4990 7485 8982 9481 14970 18962 22455 24767 28443 44910 47405 49534 56886 74301 85329 94810 123835 142215 148602 170658 222903 247670 284430 371505 426645 445806 470573 743010 853290 941146 1114515 1411719 2229030 2352865 2823438 4235157 4705730 7058595 8470314 12358733 14117190 21175785 24717466 37076199 42351570 61793665 74152398 111228597 123587330 185380995 222457194 234815927 370761990 469631854 556142985 704447781 1112285970 1174079635 1408895562 2113343343 2348159270 3522238905 4226686686 7044477810 10566716715 21133433430