Search a number
-
+
210532563144 = 23323290988853
BaseRepresentation
bin1100010000010010110…
…1111111100011001000
3202010102101011022220200
43010010231333203020
511422132314010034
6240414535252200
721132123155121
oct3040455774310
9663371138820
10210532563144
1181317163842
1234976b1a060
1316b12453267
14a292c75048
155722e7da99
hex3104b7f8c8

210532563144 has 48 divisors (see below), whose sum is σ = 570216102300. Its totient is φ = 70174598784.

The previous prime is 210532563121. The next prime is 210532563179. The reversal of 210532563144 is 441365235012.

210532563144 is a `hidden beast` number, since 2 + 1 + 0 + 53 + 2 + 563 + 1 + 44 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 149652922500 + 60879640644 = 386850^2 + 246738^2 .

It is a super-3 number, since 3×2105325631443 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 210532563099 and 210532563108.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2325022 + ... + 2413874.

Almost surely, 2210532563144 is an apocalyptic number.

210532563144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

210532563144 is an abundant number, since it is smaller than the sum of its proper divisors (359683539156).

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

210532563144 is a wasteful number, since it uses less digits than its factorization.

210532563144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121774 (or 121767 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 210532563144 its reverse (441365235012), we get a palindrome (651897798156).

The spelling of 210532563144 in words is "two hundred ten billion, five hundred thirty-two million, five hundred sixty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 32909 65818 88853 98727 131636 177706 197454 263272 266559 296181 355412 394908 533118 592362 710824 789816 799677 1066236 1184724 1599354 2132472 2369448 3198708 6397416 2924063377 5848126754 8772190131 11696253508 17544380262 23392507016 26316570393 35088760524 52633140786 70177521048 105266281572 210532563144