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21434302110 = 23513216132621
BaseRepresentation
bin10011111101100101…
…010111111010011110
32001022210102100212010
4103331211113322132
5322344140131420
613502523252050
71356106363464
oct237545277236
961283370763
1021434302110
1190aa117471
1241a237a026
1320378a6600
1410749a6834
15856b394e0
hex4fd957e9e

21434302110 has 96 divisors (see below), whose sum is σ = 55759619808. Its totient is φ = 5270853120.

The previous prime is 21434302103. The next prime is 21434302111. The reversal of 21434302110 is 1120343412.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21434302111) 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, 8176600 + ... + 8179220.

It is an arithmetic number, because the mean of its divisors is an integer number (580829373).

Almost surely, 221434302110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21434302110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27879809904).

21434302110 is an abundant number, since it is smaller than the sum of its proper divisors (34325317698).

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

21434302110 is a wasteful number, since it uses less digits than its factorization.

21434302110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4270 (or 4257 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 21434302110 its reverse (1120343412), we get a palindrome (22554645522).

The spelling of 21434302110 in words is "twenty-one billion, four hundred thirty-four million, three hundred two thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 169 195 338 390 507 845 1014 1613 1690 2535 2621 3226 4839 5070 5242 7863 8065 9678 13105 15726 16130 20969 24195 26210 34073 39315 41938 48390 62907 68146 78630 102219 104845 125814 170365 204438 209690 272597 314535 340730 442949 511095 545194 629070 817791 885898 1022190 1328847 1362985 1635582 2214745 2657694 2725970 4088955 4227673 4429490 6644235 8177910 8455346 12683019 13288470 21138365 25366038 42276730 54959749 63415095 109919498 126830190 164879247 274798745 329758494 549597490 714476737 824396235 1428953474 1648792470 2143430211 3572383685 4286860422 7144767370 10717151055 21434302110