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21432221034 = 23721573111493
BaseRepresentation
bin10011111101011101…
…011011110101101010
32001022122111122011020
4103331131123311222
5322343122033114
613502410513310
71356052605300
oct237535336552
961278448136
1021432221034
1190a8a25974
1241a1735836
1320373282c3
1410745c4270
15856877aa9
hex4fd75bd6a

21432221034 has 96 divisors (see below), whose sum is σ = 50375385216. Its totient is φ = 6060862080.

The previous prime is 21432221021. The next prime is 21432221047. The reversal of 21432221034 is 43012223412.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21432221021) and next prime (21432221047).

It is a junction number, because it is equal to n+sod(n) for n = 21432220995 and 21432221013.

It is an unprimeable number.

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, 14354392 + ... + 14355884.

It is an arithmetic number, because the mean of its divisors is an integer number (524743596).

Almost surely, 221432221034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21432221034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25187692608).

21432221034 is an abundant number, since it is smaller than the sum of its proper divisors (28943164182).

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

21432221034 is a wasteful number, since it uses less digits than its factorization.

21432221034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1980 (or 1973 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 21432221034 its reverse (43012223412), we get a palindrome (64444444446).

The spelling of 21432221034 in words is "twenty-one billion, four hundred thirty-two million, two hundred twenty-one thousand, thirty-four".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 157 294 311 314 471 622 933 942 1099 1493 1866 2177 2198 2986 3297 4354 4479 6531 6594 7693 8958 10451 13062 15239 15386 20902 23079 30478 31353 45717 46158 48827 62706 73157 91434 97654 146314 146481 219471 234401 292962 341789 438942 464323 468802 683578 703203 928646 1025367 1392969 1406406 1640807 2050734 2392523 2785938 3250261 3281614 4785046 4922421 6500522 7177569 9750783 9844842 11485649 14355138 19501566 22751827 22971298 34456947 45503654 68255481 68913894 72898711 136510962 145797422 218696133 437392266 510290977 1020581954 1530872931 3061745862 3572036839 7144073678 10716110517 21432221034