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21124151532 = 223211191367761
BaseRepresentation
bin10011101011000110…
…001111100011101100
32000112011211002020200
4103223012033203230
5321230240322112
613412043513500
71345322216421
oct235306174354
960464732220
1021124151532
118a6003a780
124116528890
131cb8563563
14104570dd48
158397c2cdc
hex4eb18f8ec

21124151532 has 144 divisors (see below), whose sum is σ = 58793140224. Its totient is φ = 6342048000.

The previous prime is 21124151527. The next prime is 21124151597. The reversal of 21124151532 is 23515142112.

It is a happy number.

21124151532 is a `hidden beast` number, since 2 + 1 + 124 + 1 + 5 + 1 + 532 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 21124151496 and 21124151505.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27758032 + ... + 27758792.

It is an arithmetic number, because the mean of its divisors is an integer number (408285696).

Almost surely, 221124151532 is an apocalyptic number.

21124151532 is a gapful number since it is divisible by the number (22) 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 21124151532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29396570112).

21124151532 is an abundant number, since it is smaller than the sum of its proper divisors (37668988692).

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

21124151532 is a wasteful number, since it uses less digits than its factorization.

21124151532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340 (or 1335 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

Adding to 21124151532 its reverse (23515142112), we get a palindrome (44639293644).

The spelling of 21124151532 in words is "twenty-one billion, one hundred twenty-four million, one hundred fifty-one thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 191 198 367 382 396 573 734 761 764 1101 1146 1468 1522 1719 2101 2202 2283 2292 3044 3303 3438 4037 4202 4404 4566 6303 6606 6849 6876 8074 8371 8404 9132 12111 12606 13212 13698 16148 16742 18909 24222 25113 25212 27396 33484 36333 37818 48444 50226 70097 72666 75339 75636 100452 140194 145332 145351 150678 210291 279287 280388 290702 301356 420582 436053 558574 581404 630873 771067 837861 841164 872106 1117148 1261746 1308159 1542134 1598861 1675722 1744212 2313201 2513583 2523492 2616318 3072157 3084268 3197722 3351444 4626402 4796583 5027166 5232636 6144314 6395444 6939603 9216471 9252804 9593166 10054332 12288628 13879206 14389749 18432942 19186332 27649413 27758412 28779498 36865884 53343817 55298826 57558996 106687634 110597652 160031451 213375268 320062902 480094353 586781987 640125804 960188706 1173563974 1760345961 1920377412 2347127948 3520691922 5281037883 7041383844 10562075766 21124151532