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21240947310 = 2351165997673
BaseRepresentation
bin10011110010000011…
…110010001001101110
32000211022120220221020
4103302003302021232
5322000140303220
613431415115010
71351241034042
oct236203621156
960738526836
1021240947310
11900aa63110
124149672a66
132006807b9b
141057034022
15844b94040
hex4f20f226e

21240947310 has 64 divisors (see below), whose sum is σ = 55697621760. Its totient is φ = 5141454080.

The previous prime is 21240947297. The next prime is 21240947341. The reversal of 21240947310 is 1374904212.

It is a super-2 number, since 2×212409473102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

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 31 ways as a sum of consecutive naturals, for example, 168634 + ... + 266306.

It is an arithmetic number, because the mean of its divisors is an integer number (870275340).

Almost surely, 221240947310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21240947310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27848810880).

21240947310 is an abundant number, since it is smaller than the sum of its proper divisors (34456674450).

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

21240947310 is a wasteful number, since it uses less digits than its factorization.

21240947310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98353.

The product of its (nonzero) digits is 12096, while the sum is 33.

The spelling of 21240947310 in words is "twenty-one billion, two hundred forty million, nine hundred forty-seven thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 659 1318 1977 3295 3954 6590 7249 9885 14498 19770 21747 36245 43494 72490 97673 108735 195346 217470 293019 488365 586038 976730 1074403 1465095 2148806 2930190 3223209 5372015 6446418 10744030 16116045 32232090 64366507 128733014 193099521 321832535 386199042 643665070 708031577 965497605 1416063154 1930995210 2124094731 3540157885 4248189462 7080315770 10620473655 21240947310