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21242122398 = 23374198623
BaseRepresentation
bin10011110010001000…
…010001000010011110
32000211101210121212000
4103302020101002132
5322000440404043
613431500223130
71351254030000
oct236210210236
960741717760
1021242122398
119010695a62
124149b3aaa6
132006b299c3
14105725c370
15844d272d3
hex4f221109e

21242122398 has 160 divisors (see below), whose sum is σ = 57973977600. Its totient is φ = 5749080624.

The previous prime is 21242122381. The next prime is 21242122409. The reversal of 21242122398 is 89322124212.

It is a happy number.

21242122398 is a `hidden beast` number, since 2 + 1 + 2 + 421 + 223 + 9 + 8 = 666.

It is a super-2 number, since 2×212421223982 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2459115 + ... + 2467737.

It is an arithmetic number, because the mean of its divisors is an integer number (362337360).

Almost surely, 221242122398 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21242122398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28986988800).

21242122398 is an abundant number, since it is smaller than the sum of its proper divisors (36731855202).

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

21242122398 is an equidigital number, since it uses as much as digits as its factorization.

21242122398 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8681 (or 8654 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The spelling of 21242122398 in words is "twenty-one billion, two hundred forty-two million, one hundred twenty-two thousand, three hundred ninety-eight".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 49 54 57 63 98 114 126 133 147 171 189 266 294 342 343 378 399 441 513 686 798 882 931 1026 1029 1197 1323 1862 2058 2394 2401 2646 2793 3087 3591 4802 5586 6174 6517 7182 7203 8379 8623 9261 13034 14406 16758 17246 18522 19551 21609 25137 25869 39102 43218 45619 50274 51738 58653 60361 64827 77607 91238 117306 120722 129654 136857 155214 163837 175959 181083 232821 273714 327674 351918 362166 410571 422527 465642 491511 543249 821142 845054 983022 1086498 1146859 1231713 1267581 1474533 1629747 2293718 2463426 2535162 2949066 2957689 3259494 3440577 3802743 4423599 5915378 6881154 7605486 8028013 8847198 8873067 10321731 11408229 16056026 17746134 20643462 20703823 22816458 24084039 26619201 30965193 41407646 48168078 53238402 56196091 61930386 62111469 72252117 79857603 112392182 124222938 144504234 159715206 168588273 186334407 216756351 337176546 372668814 393372637 433512702 505764819 559003221 786745274 1011529638 1118006442 1180117911 1517294457 2360235822 3034588914 3540353733 7080707466 10621061199 21242122398