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10021460427 = 3311231531867
BaseRepresentation
bin10010101010101001…
…10101100111001011
3221212102010221022000
421111110311213023
5131010443213202
64334230402043
7503225002536
oct112524654713
927772127260
1010021460427
114282942600
121b38200323
13c39292554
146b0d4ba1d
153d9beb91c
hex2555359cb

10021460427 has 96 divisors (see below), whose sum is σ = 17172449280. Its totient is φ = 5763700800.

The previous prime is 10021460411. The next prime is 10021460437. The reversal of 10021460427 is 72406412001.

10021460427 is a `hidden beast` number, since 10 + 0 + 21 + 4 + 604 + 27 = 666.

It is not a de Polignac number, because 10021460427 - 24 = 10021460411 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 10021460427.

It is not an unprimeable number, because it can be changed into a prime (10021460437) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5366748 + ... + 5368614.

It is an arithmetic number, because the mean of its divisors is an integer number (178879680).

Almost surely, 210021460427 is an apocalyptic number.

10021460427 is a deficient number, since it is larger than the sum of its proper divisors (7150988853).

10021460427 is a wasteful number, since it uses less digits than its factorization.

10021460427 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1982 (or 1965 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 10021460427 its reverse (72406412001), we get a palindrome (82427872428).

The spelling of 10021460427 in words is "ten billion, twenty-one million, four hundred sixty thousand, four hundred twenty-seven".

Divisors: 1 3 9 11 27 31 33 53 93 99 121 159 279 297 341 363 477 583 837 1023 1089 1431 1643 1749 1867 3069 3267 3751 4929 5247 5601 6413 9207 11253 14787 15741 16803 18073 19239 20537 33759 44361 50409 54219 57717 57877 61611 98951 101277 162657 173151 173631 184833 198803 225907 296853 487971 520893 554499 596409 636647 677721 890559 1088461 1562679 1789227 1909941 2033163 2671677 3067481 3265383 5367681 5729823 6099489 7003117 9202443 9796149 11973071 17189469 21009351 27607329 29388447 33742291 35919213 63028053 82821987 101226873 107757639 189084159 303680619 323272917 371165201 911041857 1113495603 3340486809 10021460427