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21217110540 = 22353713769761
BaseRepresentation
bin10011110000101000…
…110110101000001100
32000202122201220000220
4103300220312220030
5321423040014130
613425204151340
71350531315063
oct236050665014
960678656026
1021217110540
118aa85621aa
124141698550
1320018b02a2
141053bcb1da
15842a36410
hex4f0a36a0c

21217110540 has 96 divisors (see below), whose sum is σ = 61459763904. Its totient is φ = 5464719360.

The previous prime is 21217110539. The next prime is 21217110569. The reversal of 21217110540 is 4501171212.

It is a self number, because there is not a number n which added to its sum of digits gives 21217110540.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 269260 + ... + 339020.

It is an arithmetic number, because the mean of its divisors is an integer number (640205874).

Almost surely, 221217110540 is an apocalyptic number.

21217110540 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 21217110540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30729881952).

21217110540 is an abundant number, since it is smaller than the sum of its proper divisors (40242653364).

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

21217110540 is a wasteful number, since it uses less digits than its factorization.

21217110540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69947 (or 69945 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 24.

Adding to 21217110540 its reverse (4501171212), we get a palindrome (25718281752).

The spelling of 21217110540 in words is "twenty-one billion, two hundred seventeen million, one hundred ten thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 137 148 185 222 274 370 411 444 548 555 685 740 822 1110 1370 1644 2055 2220 2740 4110 5069 8220 10138 15207 20276 25345 30414 50690 60828 69761 76035 101380 139522 152070 209283 279044 304140 348805 418566 697610 837132 1046415 1395220 2092830 2581157 4185660 5162314 7743471 9557257 10324628 12905785 15486942 19114514 25811570 28671771 30973884 38229028 38717355 47786285 51623140 57343542 77434710 95572570 114687084 143358855 154869420 191145140 286717710 353618509 573435420 707237018 1060855527 1414474036 1768092545 2121711054 3536185090 4243422108 5304277635 7072370180 10608555270 21217110540