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21102132320 = 255537193461
BaseRepresentation
bin10011101001110010…
…001111110001100000
32000110122101101120022
4103221302033301200
5321204121213240
613405535533012
71344634110443
oct235162176140
960418341508
1021102132320
118a49670385
12410b08a168
131cb3b24039
14104281b65a
158378c39b5
hex4e9c8fc60

21102132320 has 96 divisors (see below), whose sum is σ = 50879767680. Its totient is φ = 8267683840.

The previous prime is 21102132319. The next prime is 21102132341. The reversal of 21102132320 is 2323120112.

It is a congruent number.

It is an unprimeable number.

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, 6095390 + ... + 6098850.

It is an arithmetic number, because the mean of its divisors is an integer number (529997580).

Almost surely, 221102132320 is an apocalyptic number.

21102132320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21102132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25439883840).

21102132320 is an abundant number, since it is smaller than the sum of its proper divisors (29777635360).

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

21102132320 is a wasteful number, since it uses less digits than its factorization.

21102132320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4248 (or 4240 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 21102132320 its reverse (2323120112), we get a palindrome (23425252432).

The spelling of 21102132320 in words is "twenty-one billion, one hundred two million, one hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 80 106 160 212 265 424 530 719 848 1060 1438 1696 2120 2876 3461 3595 4240 5752 6922 7190 8480 11504 13844 14380 17305 23008 27688 28760 34610 38107 55376 57520 69220 76214 110752 115040 138440 152428 183433 190535 276880 304856 366866 381070 553760 609712 733732 762140 917165 1219424 1467464 1524280 1834330 2488459 2934928 3048560 3668660 4976918 5869856 6097120 7337320 9953836 12442295 14674640 19907672 24884590 29349280 39815344 49769180 79630688 99538360 131888327 199076720 263776654 398153440 527553308 659441635 1055106616 1318883270 2110213232 2637766540 4220426464 5275533080 10551066160 21102132320