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21130141410 = 2335759189491
BaseRepresentation
bin10011101011011101…
…000101111011100010
32000112121002101211000
4103223131011323202
5321233304011120
613412420132430
71345424144550
oct235335057342
960477071730
1021130141410
118a63460a94
124118537116
131cb987ca71
14104642cbd0
1583a0a7990
hex4eb745ee2

21130141410 has 128 divisors (see below), whose sum is σ = 65488435200. Its totient is φ = 4747861440.

The previous prime is 21130141379. The next prime is 21130141429. The reversal of 21130141410 is 1414103112.

21130141410 is a `hidden beast` number, since 2 + 113 + 0 + 141 + 410 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16765 + ... + 206255.

It is an arithmetic number, because the mean of its divisors is an integer number (511628400).

Almost surely, 221130141410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21130141410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32744217600).

21130141410 is an abundant number, since it is smaller than the sum of its proper divisors (44358293790).

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

21130141410 is a wasteful number, since it uses less digits than its factorization.

21130141410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189573 (or 189567 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 21130141410 its reverse (1414103112), we get a palindrome (22544244522).

The spelling of 21130141410 in words is "twenty-one billion, one hundred thirty million, one hundred forty-one thousand, four hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 59 63 70 90 105 118 126 135 177 189 210 270 295 315 354 378 413 531 590 630 826 885 945 1062 1239 1593 1770 1890 2065 2478 2655 3186 3717 4130 5310 6195 7434 7965 11151 12390 15930 18585 22302 37170 55755 111510 189491 378982 568473 947455 1136946 1326437 1705419 1894910 2652874 2842365 3410838 3979311 5116257 5684730 6632185 7958622 8527095 10232514 11179969 11937933 13264370 17054190 19896555 22359938 23875866 25581285 33539907 35813799 39793110 51162570 55899845 59689665 67079814 71627598 78259783 100619721 111799690 119379330 156519566 167699535 179068995 201239442 234779349 301859163 335399070 358137990 391298915 469558698 503098605 603718326 704338047 782597830 1006197210 1173896745 1408676094 1509295815 2113014141 2347793490 3018591630 3521690235 4226028282 7043380470 10565070705 21130141410