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21432132120 = 2335725514443
BaseRepresentation
bin10011111101011101…
…000110001000011000
32001022122100010012010
4103331131012020120
5322343111211440
613502404545520
71356052055130
oct237535061030
961278303163
1021432132120
1190a8975093
1241a16b22a0
1320372c69a9
14107459dac0
1585685b580
hex4fd746218

21432132120 has 64 divisors (see below), whose sum is σ = 73481598720. Its totient is φ = 4898772864.

The previous prime is 21432132083. The next prime is 21432132121. The reversal of 21432132120 is 2123123412.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21432132121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12756382 + ... + 12758061.

It is an arithmetic number, because the mean of its divisors is an integer number (1148149980).

Almost surely, 221432132120 is an apocalyptic number.

21432132120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21432132120 is an abundant number, since it is smaller than the sum of its proper divisors (52049466600).

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

21432132120 is a wasteful number, since it uses less digits than its factorization.

21432132120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25514464 (or 25514460 counting only the distinct ones).

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

Adding to 21432132120 its reverse (2123123412), we get a palindrome (23555255532).

The spelling of 21432132120 in words is "twenty-one billion, four hundred thirty-two million, one hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 25514443 51028886 76543329 102057772 127572215 153086658 178601101 204115544 255144430 306173316 357202202 382716645 510288860 535803303 612346632 714404404 765433290 893005505 1020577720 1071606606 1428808808 1530866580 1786011010 2143213212 2679016515 3061733160 3572022020 4286426424 5358033030 7144044040 10716066060 21432132120