Search a number
-
+
21333000402 = 2337593892459
BaseRepresentation
bin10011110111100010…
…111100000011010010
32001001201210201001000
4103313202330003102
5322142222003102
613444504122430
71353436340310
oct236742740322
961051721030
1021333000402
119057a16a4a
124174466416
13201c8c847c
1410653570b0
1584ccc901c
hex4f78bc0d2

21333000402 has 128 divisors (see below), whose sum is σ = 55261440000. Its totient is φ = 5974001856.

The previous prime is 21333000323. The next prime is 21333000407. The reversal of 21333000402 is 20400033312.

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

It is not an unprimeable number, because it can be changed into a prime (21333000407) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8674249 + ... + 8676707.

It is an arithmetic number, because the mean of its divisors is an integer number (431730000).

Almost surely, 221333000402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21333000402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27630720000).

21333000402 is an abundant number, since it is smaller than the sum of its proper divisors (33928439598).

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

21333000402 is a wasteful number, since it uses less digits than its factorization.

21333000402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2925 (or 2919 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 21333000402 its reverse (20400033312), we get a palindrome (41733033714).

The spelling of 21333000402 in words is "twenty-one billion, three hundred thirty-three million, four hundred two", and thus it is an aban number.

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 59 63 118 126 177 189 354 378 389 413 531 778 826 1062 1167 1239 1593 2334 2459 2478 2723 3186 3501 3717 4918 5446 7002 7377 7434 8169 10503 11151 14754 16338 17213 21006 22131 22302 22951 24507 34426 44262 45902 49014 51639 66393 68853 73521 103278 132786 137706 145081 147042 154917 160657 206559 290162 309834 321314 413118 435243 464751 481971 619677 870486 929502 956551 963942 1015567 1239354 1305729 1445913 1913102 2031134 2611458 2869653 2891826 3046701 3917187 4337739 5739306 6093402 6695857 7834374 8608959 8675478 9140103 13391714 17217918 18280206 20087571 25826877 27420309 40175142 51653754 54840618 56436509 60262713 112873018 120525426 169309527 180788139 338619054 361576278 395055563 507928581 790111126 1015857162 1185166689 1523785743 2370333378 3047571486 3555500067 7111000134 10666500201 21333000402