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210310003301130 = 232510927417821353
BaseRepresentation
bin101111110100011010011101…
…000010100001101100001010
31000120122102212201202200120100
4233310122131002201230022
5210031204341321114010
62023143025353110230
762204252636365635
oct5764323502415412
91016572781680510
10210310003301130
1161013a76102887
121b7075a26b8376
1390471c081aba5
1439d10b6636c1c
15194a9a49a22c0
hexbf469d0a1b0a

210310003301130 has 96 divisors (see below), whose sum is σ = 552023969674320. Its totient is φ = 55547867612160.

The previous prime is 210310003301119. The next prime is 210310003301131. The reversal of 210310003301130 is 31103300013012.

It is a happy number.

210310003301130 is a `hidden beast` number, since 2 + 10 + 310 + 0 + 0 + 330 + 1 + 13 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 65197695591081 + 145112307710049 = 8074509^2 + 12046257^2 .

It is a super-2 number, since 2×2103100033011302 (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (210310003301131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22978534 + ... + 30799886.

Almost surely, 2210310003301130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210310003301130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276011984837160).

210310003301130 is an abundant number, since it is smaller than the sum of its proper divisors (341713966373190).

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

210310003301130 is a wasteful number, since it uses less digits than its factorization.

210310003301130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7824216 (or 7824213 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 210310003301130 its reverse (31103300013012), we get a palindrome (241413303314142).

The spelling of 210310003301130 in words is "two hundred ten trillion, three hundred ten billion, three million, three hundred one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 109 218 327 545 654 981 1090 1635 1962 2741 3270 4905 5482 8223 9810 13705 16446 24669 27410 41115 49338 82230 123345 246690 298769 597538 896307 1493845 1792614 2688921 2987690 4481535 5377842 7821353 8963070 13444605 15642706 23464059 26889210 39106765 46928118 70392177 78213530 117320295 140784354 234640590 351960885 703921770 852527477 1705054954 2557582431 4262637385 5115164862 7672747293 8525274770 12787912155 15345494586 21438328573 25575824310 38363736465 42876657146 64314985719 76727472930 107191642865 128629971438 192944957157 214383285730 321574928595 385889914314 643149857190 964724785785 1929449571570 2336777814457 4673555628914 7010333443371 11683889072285 14020666886742 21031000330113 23367778144570 35051667216855 42062000660226 70103334433710 105155001650565 210310003301130