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21126918987 = 33411071731031
BaseRepresentation
bin10011101011010000…
…110011001101001011
32000112101000200111000
4103223100303031023
5321231442401422
613412223110043
71345354563666
oct235320631513
960471020430
1021126918987
118a6165aa29
124117442323
131cb8cc20c5
141045c306dd
15839b6ccac
hex4eb43334b

21126918987 has 64 divisors (see below), whose sum is σ = 32580817920. Its totient is φ = 13520851200.

The previous prime is 21126918973. The next prime is 21126919001. The reversal of 21126918987 is 78981962112.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21126918973) and next prime (21126919001).

It is not a de Polignac number, because 21126918987 - 214 = 21126902603 is a prime.

It is a super-2 number, since 2×211269189872 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21126918937) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20491162 + ... + 20492192.

It is an arithmetic number, because the mean of its divisors is an integer number (509075280).

Almost surely, 221126918987 is an apocalyptic number.

21126918987 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

21126918987 is a deficient number, since it is larger than the sum of its proper divisors (11453898933).

21126918987 is a wasteful number, since it uses less digits than its factorization.

21126918987 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1361 (or 1355 counting only the distinct ones).

The product of its digits is 870912, while the sum is 54.

The spelling of 21126918987 in words is "twenty-one billion, one hundred twenty-six million, nine hundred eighteen thousand, nine hundred eighty-seven".

Divisors: 1 3 9 27 41 107 123 173 321 369 519 963 1031 1107 1557 2889 3093 4387 4671 7093 9279 13161 18511 21279 27837 39483 42271 55533 63837 110317 118449 126813 166599 178363 191511 330951 380439 499797 535089 758951 992853 1141317 1605267 2276853 2978559 4522997 4815801 6830559 7312883 13568991 19084841 20491677 21938649 40706973 57254523 65815947 122120919 171763569 197447841 515290707 782478481 2347435443 7042306329 21126918987