Search a number
-
+
21120421140522 = 23211457400358309
BaseRepresentation
bin1001100110101011110110…
…01100110001100000101010
32202210002111110111200211100
410303111323030301200222
510232014110302444042
6112530330523342230
74306620503414154
oct463257314614052
982702443450740
1021120421140522
116803136142170
122451342381976
13ba2854a9a7c2
1453033b915ad4
152695cd54024c
hex13357b33182a

21120421140522 has 96 divisors (see below), whose sum is σ = 50043588154560. Its totient is φ = 6384418133760.

The previous prime is 21120421140491. The next prime is 21120421140527. The reversal of 21120421140522 is 22504112402112.

21120421140522 is a `hidden beast` number, since 2 + 1 + 1 + 20 + 4 + 2 + 114 + 0 + 522 = 666.

It is a super-3 number, since 3×211204211405223 (a number of 41 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (21120421140527) 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, 362186304 + ... + 362244612.

It is an arithmetic number, because the mean of its divisors is an integer number (521287376610).

Almost surely, 221120421140522 is an apocalyptic number.

21120421140522 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 21120421140522, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25021794077280).

21120421140522 is an abundant number, since it is smaller than the sum of its proper divisors (28923167014038).

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

21120421140522 is a wasteful number, since it uses less digits than its factorization.

21120421140522 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62788 (or 62785 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 21120421140522 its reverse (22504112402112), we get a palindrome (43624533542634).

The spelling of 21120421140522 in words is "twenty-one trillion, one hundred twenty billion, four hundred twenty-one million, one hundred forty thousand, five hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 457 914 1371 2742 4003 4113 5027 8006 8226 10054 12009 15081 24018 30162 36027 44033 45243 58309 72054 88066 90486 116618 132099 174927 264198 349854 396297 524781 641399 792594 1049562 1282798 1829371 1924197 3658742 3848394 5488113 5772591 10976226 11545182 16464339 20123081 26647213 32928678 40246162 53294426 60369243 79941639 120738486 159883278 181107729 233410927 239824917 293119343 362215458 466821854 479649834 586238686 700232781 879358029 1400465562 1758716058 2100698343 2567520197 2638074087 4201396686 5135040394 5276148174 7702560591 15405121182 23107681773 46215363546 106668793639 213337587278 320006380917 640012761834 960019142751 1173356730029 1920038285502 2346713460058 3520070190087 7040140380174 10560210570261 21120421140522