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21143141342010 = 23252339192606297
BaseRepresentation
bin1001100111010110001010…
…11011011101101100111010
32202212021010212120112000100
410303223011123131230322
510232402123140421020
6112545005224220230
74311353516062512
oct463530533355472
982767125515010
1021143141342010
1168118350a5896
12245582330a676
13ba4a35bb2bcc
145314951ac842
15269eaced1a90
hex133ac56ddb3a

21143141342010 has 96 divisors (see below), whose sum is σ = 57376920706560. Its totient is φ = 5391654960384.

The previous prime is 21143141342009. The next prime is 21143141342023. The reversal of 21143141342010 is 1024314134112.

It is a happy number.

21143141342010 is a `hidden beast` number, since 2 + 1 + 1 + 4 + 314 + 1 + 342 + 0 + 1 + 0 = 666.

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, 6809182 + ... + 9415478.

It is an arithmetic number, because the mean of its divisors is an integer number (597676257360).

Almost surely, 221143141342010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21143141342010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28688460353280).

21143141342010 is an abundant number, since it is smaller than the sum of its proper divisors (36233779364550).

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

21143141342010 is a wasteful number, since it uses less digits than its factorization.

21143141342010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2610252 (or 2610249 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 21143141342010 its reverse (1024314134112), we get a palindrome (22167455476122).

The spelling of 21143141342010 in words is "twenty-one trillion, one hundred forty-three billion, one hundred forty-one million, three hundred forty-two thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 207 230 345 414 690 1035 2070 3919 7838 11757 19595 23514 35271 39190 58785 70542 90137 117570 176355 180274 270411 352710 450685 540822 811233 901370 1352055 1622466 2606297 2704110 4056165 5212594 7818891 8112330 13031485 15637782 23456673 26062970 39094455 46913346 59944831 78188910 117283365 119889662 179834493 234566730 299724155 359668986 539503479 599448310 899172465 1079006958 1798344930 2697517395 5395034790 10214077943 20428155886 30642233829 51070389715 61284467658 91926701487 102140779430 153211169145 183853402974 234923792689 306422338290 459633507435 469847585378 704771378067 919267014870 1174618963445 1409542756134 2114314134201 2349237926890 3523856890335 4228628268402 7047713780670 10571570671005 21143141342010