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21430422102420 = 22325711721974359
BaseRepresentation
bin1001101111101101010001…
…01100100110000110010100
32210212201122222000020011200
410313312220230212012110
510302104001024234140
6113325000000032500
74341203560206042
oct467665054460624
983781588006150
1021430422102420
116912655650131
1224a1439002730
13bc5b59862636
14541348d8b392
152726c3bec030
hex137da8b26194

21430422102420 has 144 divisors (see below), whose sum is σ = 65959557431040. Its totient is φ = 5631009753600.

The previous prime is 21430422102407. The next prime is 21430422102461. The reversal of 21430422102420 is 2420122403412.

It is a happy number.

21430422102420 is a `hidden beast` number, since 2 + 1 + 430 + 4 + 221 + 0 + 2 + 4 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21507201 + ... + 22481559.

It is an arithmetic number, because the mean of its divisors is an integer number (458052482160).

Almost surely, 221430422102420 is an apocalyptic number.

21430422102420 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 21430422102420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32979778715520).

21430422102420 is an abundant number, since it is smaller than the sum of its proper divisors (44529135328620).

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

21430422102420 is a wasteful number, since it uses less digits than its factorization.

21430422102420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976166 (or 976161 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 21430422102420 its reverse (2420122403412), we get a palindrome (23850544505832).

The spelling of 21430422102420 in words is "twenty-one trillion, four hundred thirty billion, four hundred twenty-two million, one hundred two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 71 90 142 180 213 284 355 426 639 710 852 1065 1278 1420 1721 2130 2556 3195 3442 4260 5163 6390 6884 8605 10326 12780 15489 17210 20652 25815 30978 34420 51630 61956 77445 103260 122191 154890 244382 309780 366573 488764 610955 733146 974359 1099719 1221910 1466292 1832865 1948718 2199438 2443820 2923077 3665730 3897436 4398876 4871795 5498595 5846154 7331460 8769231 9743590 10997190 11692308 14615385 17538462 19487180 21994380 29230770 35076924 43846155 58461540 69179489 87692310 138358978 175384620 207538467 276717956 345897445 415076934 622615401 691794890 830153868 1037692335 1245230802 1383589780 1676871839 2075384670 2490461604 3113077005 3353743678 4150769340 5030615517 6226154010 6707487356 8384359195 10061231034 12452308020 15091846551 16768718390 20122462068 25153077585 30183693102 33537436780 50306155170 60367386204 75459232755 100612310340 119057900569 150918465510 238115801138 301836931020 357173701707 476231602276 595289502845 714347403414 1071521105121 1190579005690 1428694806828 1785868508535 2143042210242 2381158011380 3571737017070 4286084420484 5357605525605 7143474034140 10715211051210 21430422102420