Search a number
-
+
10311110020020 = 22351009233972817
BaseRepresentation
bin1001011000001011111000…
…0011001100101110110100
31100111201202222121202220110
42112002332003030232310
52322414123131120040
633532505240303020
72112644630026605
oct226027603145664
940451688552813
1010311110020020
113315a0a883847
1211a6441a71a70
1359a444922c74
142790bb9bddac
1512d337b74980
hex960be0ccbb4

10311110020020 has 96 divisors (see below), whose sum is σ = 28912474281600. Its totient is φ = 2745692135424.

The previous prime is 10311110020019. The next prime is 10311110020021. The reversal of 10311110020020 is 2002001111301.

It is an interprime number because it is at equal distance from previous prime (10311110020019) and next prime (10311110020021).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10311110019978 and 10311110020005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10311110020021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141566652 + ... + 141639468.

It is an arithmetic number, because the mean of its divisors is an integer number (301171607100).

Almost surely, 210311110020020 is an apocalyptic number.

10311110020020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10311110020020 is an abundant number, since it is smaller than the sum of its proper divisors (18601364261580).

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

10311110020020 is a wasteful number, since it uses less digits than its factorization.

10311110020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76177 (or 76175 counting only the distinct ones).

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

Adding to 10311110020020 its reverse (2002001111301), we get a palindrome (12313111131321).

The spelling of 10311110020020 in words is "ten trillion, three hundred eleven billion, one hundred ten million, twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1009 2018 2339 3027 4036 4678 5045 6054 7017 9356 10090 11695 12108 14034 15135 20180 23390 28068 30270 35085 46780 60540 70170 72817 140340 145634 218451 291268 364085 436902 728170 873804 1092255 1456340 2184510 2360051 4369020 4720102 7080153 9440204 11800255 14160306 23600510 28320612 35400765 47201020 70801530 73472353 141603060 146944706 170318963 220417059 293889412 340637926 367361765 440834118 510956889 681275852 734723530 851594815 881668236 1021913778 1102085295 1469447060 1703189630 2043827556 2204170590 2554784445 3406379260 4408341180 5109568890 10219137780 171851833667 343703667334 515555501001 687407334668 859259168335 1031111002002 1718518336670 2062222004004 2577777505005 3437036673340 5155555010010 10311110020020