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21342322430 = 251121311312007
BaseRepresentation
bin10011111000000110…
…011111111011111110
32001002101100022110022
4103320012133323332
5322202113304210
613445440012142
71353611514242
oct237006377376
961071308408
1021342322430
119062203800
124177601052
132021810570
1410666a2422
1584da1b155
hex4f819fefe

21342322430 has 96 divisors (see below), whose sum is σ = 45880454592. Its totient is φ = 7099868160.

The previous prime is 21342322429. The next prime is 21342322439. The reversal of 21342322430 is 3422324312.

It is a super-2 number, since 2×213423224302 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 21342322430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21342322439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1771487 + ... + 1783493.

It is an arithmetic number, because the mean of its divisors is an integer number (477921402).

Almost surely, 221342322430 is an apocalyptic number.

21342322430 is an abundant number, since it is smaller than the sum of its proper divisors (24538132162).

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

21342322430 is a wasteful number, since it uses less digits than its factorization.

21342322430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12162 (or 12151 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 21342322430 its reverse (3422324312), we get a palindrome (24764646742).

The spelling of 21342322430 in words is "twenty-one billion, three hundred forty-two million, three hundred twenty-two thousand, four hundred thirty".

Divisors: 1 2 5 10 11 13 22 26 55 65 110 113 121 130 143 226 242 286 565 605 715 1130 1210 1243 1430 1469 1573 2486 2938 3146 6215 7345 7865 12007 12430 13673 14690 15730 16159 24014 27346 32318 60035 68365 80795 120070 132077 136730 156091 161590 177749 264154 312182 355498 660385 780455 888745 1320770 1356791 1452847 1560910 1717001 1777490 2713582 2905694 3434002 6783955 7264235 8585005 13567910 14528470 14924701 17170010 17638283 18887011 29849402 35276566 37774022 74623505 88191415 94435055 149247010 164171711 176382830 188870110 194021113 328343422 388042226 820858555 970105565 1641717110 1940211130 2134232243 4268464486 10671161215 21342322430