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10010331213040 = 2451031498153329
BaseRepresentation
bin1001000110101011011000…
…1111000110110011110000
31022102222102012020020211101
42101222312033012303300
52303002124242304130
633142403242454144
72052136224246034
oct221526617066360
938388365206741
1010010331213040
11320a3a3001314
12115809b804354
13577c7c651932
1426870726c1c4
151255d1e281ca
hex91ab63c6cf0

10010331213040 has 80 divisors (see below), whose sum is σ = 23657702328000. Its totient is φ = 3938644463616.

The previous prime is 10010331212939. The next prime is 10010331213041. The reversal of 10010331213040 is 4031213301001.

10010331213040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 10010331212999 and 10010331213017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010331213041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2848905 + ... + 5304424.

It is an arithmetic number, because the mean of its divisors is an integer number (295721279100).

Almost surely, 210010331213040 is an apocalyptic number.

10010331213040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10010331213040 is an abundant number, since it is smaller than the sum of its proper divisors (13647371114960).

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

10010331213040 is a wasteful number, since it uses less digits than its factorization.

10010331213040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8153594 (or 8153588 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 10010331213040 its reverse (4031213301001), we get a palindrome (14041544514041).

The spelling of 10010331213040 in words is "ten trillion, ten billion, three hundred thirty-one million, two hundred thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 103 149 206 298 412 515 596 745 824 1030 1192 1490 1648 2060 2384 2980 4120 5960 8240 11920 15347 30694 61388 76735 122776 153470 245552 306940 613880 1227760 8153329 16306658 32613316 40766645 65226632 81533290 130453264 163066580 326133160 652266320 839792887 1214846021 1679585774 2429692042 3359171548 4198964435 4859384084 6074230105 6718343096 8397928870 9718768168 12148460210 13436686192 16795857740 19437536336 24296920420 33591715480 48593840840 67183430960 97187681680 125129140163 250258280326 500516560652 625645700815 1001033121304 1251291401630 2002066242608 2502582803260 5005165606520 10010331213040