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20042221212 = 2232131912311831
BaseRepresentation
bin10010101010100111…
…000000011010011100
31220201202222022212100
4102222213000122130
5312021302034322
613112434205100
71306444032546
oct225247003234
956652868770
1020042221212
118555347492
123a74123790
131b7536b4c0
14d81b56696
157c480adac
hex4aa9c069c

20042221212 has 144 divisors (see below), whose sum is σ = 57508971520. Its totient is φ = 5834332800.

The previous prime is 20042221207. The next prime is 20042221217. The reversal of 20042221212 is 21212224002.

20042221212 is a `hidden beast` number, since 20 + 0 + 422 + 212 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (20042221207) and next prime (20042221217).

It is a super-2 number, since 2×200422212122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20042221217) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10945137 + ... + 10946967.

Almost surely, 220042221212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20042221212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28754485760).

20042221212 is an abundant number, since it is smaller than the sum of its proper divisors (37466750308).

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

20042221212 is a wasteful number, since it uses less digits than its factorization.

20042221212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3104 (or 3099 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 20042221212 its reverse (21212224002), we get a palindrome (41254445214).

The spelling of 20042221212 in words is "twenty billion, forty-two million, two hundred twenty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 36 38 39 52 57 76 78 114 117 156 171 228 234 247 342 468 494 684 741 988 1231 1482 1831 2223 2462 2964 3662 3693 4446 4924 5493 7324 7386 8892 10986 11079 14772 16003 16479 21972 22158 23389 23803 32006 32958 34789 44316 46778 47606 48009 64012 65916 69578 70167 71409 93556 95212 96018 104367 139156 140334 142818 144027 192036 208734 210501 214227 280668 285636 288054 304057 313101 417468 421002 428454 452257 576108 608114 626202 842004 856908 904514 912171 1216228 1252404 1356771 1809028 1824342 2253961 2713542 2736513 3648684 4070313 4507922 5427084 5473026 6761883 8140626 9015844 10946052 13523766 16281252 20285649 27047532 29301493 40571298 42825259 58602986 81142596 85650518 87904479 117205972 128475777 171301036 175808958 256951554 263713437 351617916 385427331 513903108 527426874 556728367 770854662 1054853748 1113456734 1541709324 1670185101 2226913468 3340370202 5010555303 6680740404 10021110606 20042221212