Search a number
-
+
210451331202030 = 232522314937023353
BaseRepresentation
bin101111110110011110000100…
…110101101011101111101110
31000121010221200010010220220100
4233312132010311223233232
5210041013311241431110
62023332001252331530
762220415113622302
oct5766360465535756
91017127603126810
10210451331202030
11610689aa010586
121b72aa65013ba6
139057624536559
1439d7c82369d02
15194e4c7075bc0
hexbf6784d6bbee

210451331202030 has 96 divisors (see below), whose sum is σ = 549995368156416. Its totient is φ = 55831265828352.

The previous prime is 210451331201959. The next prime is 210451331202043. The reversal of 210451331202030 is 30202133154012.

210451331202030 is a `hidden beast` number, since 2 + 1 + 0 + 4 + 513 + 3 + 120 + 20 + 3 + 0 = 666.

It is a super-2 number, since 2×2104513312020302 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 210451331201985 and 210451331202003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26452834 + ... + 33476186.

It is an arithmetic number, because the mean of its divisors is an integer number (5729118418296).

Almost surely, 2210451331202030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210451331202030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274997684078208).

210451331202030 is an abundant number, since it is smaller than the sum of its proper divisors (339544036954386).

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

210451331202030 is a wasteful number, since it uses less digits than its factorization.

210451331202030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7025082 (or 7025079 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 210451331202030 its reverse (30202133154012), we get a palindrome (240653464356042).

The spelling of 210451331202030 in words is "two hundred ten trillion, four hundred fifty-one billion, three hundred thirty-one million, two hundred two thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 223 446 669 1115 1338 1493 2007 2230 2986 3345 4014 4479 6690 7465 8958 10035 13437 14930 20070 22395 26874 44790 67185 134370 332939 665878 998817 1664695 1997634 2996451 3329390 4994085 5992902 7023353 9988170 14046706 14982255 21070059 29964510 35116765 42140118 63210177 70233530 105350295 126420354 210700590 316050885 632101770 1566207719 3132415438 4698623157 7831038595 9397246314 10485866029 14095869471 15662077190 20971732058 23493115785 28191738942 31457598087 46986231570 52429330145 62915196174 70479347355 94372794261 104858660290 140958694710 157287990435 188745588522 314575980870 471863971305 943727942610 2338348124467 4676696248934 7015044373401 11691740622335 14030088746802 21045133120203 23383481244670 35075221867005 42090266240406 70150443734010 105225665601015 210451331202030