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10020000320010 = 23251757711350121
BaseRepresentation
bin1001000111001111011010…
…0011110100101000001010
31022110220101001100210001100
42101303312203310220022
52303131430040220020
633151042525202230
72052630643303212
oct221636643645012
938426331323040
1010020000320010
113213504a6150a
121159b39a00376
13578b609159c5
14268d83499242
1512599ac23a90
hex91cf68f4a0a

10020000320010 has 96 divisors (see below), whose sum is σ = 27632280613392. Its totient is φ = 2510464942080.

The previous prime is 10020000320009. The next prime is 10020000320017. The reversal of 10020000320010 is 1002300002001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 10018155531609 + 1844788401 = 3165147^2 + 42951^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10020000319974 and 10020000320001.

It is not an unprimeable number, because it can be changed into a prime (10020000320017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4792251 + ... + 6557870.

Almost surely, 210020000320010 is an apocalyptic number.

10020000320010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10020000320010 is an abundant number, since it is smaller than the sum of its proper divisors (17612280293382).

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

10020000320010 is a wasteful number, since it uses less digits than its factorization.

10020000320010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11350728 (or 11350725 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 10020000320010 its reverse (1002300002001), we get a palindrome (11022300322011).

The spelling of 10020000320010 in words is "ten trillion, twenty billion, three hundred twenty thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 577 765 1154 1530 1731 2885 3462 5193 5770 8655 9809 10386 17310 19618 25965 29427 49045 51930 58854 88281 98090 147135 176562 294270 441405 882810 11350121 22700242 34050363 56750605 68100726 102151089 113501210 170251815 192952057 204302178 340503630 385904114 510755445 578856171 964760285 1021510890 1157712342 1736568513 1929520570 2894280855 3473137026 5788561710 6549019817 8682842565 13098039634 17365685130 19647059451 32745099085 39294118902 58941178353 65490198170 98235297255 111333336889 117882356706 196470594510 222666673778 294705891765 334000010667 556666684445 589411783530 668000021334 1002000032001 1113333368890 1670000053335 2004000064002 3340000106670 5010000160005 10020000320010