Search a number
-
+
312141420213020 = 225101458333717097
BaseRepresentation
bin100011011111001000001011…
…0011110001011001100011100
31111221012102120021002212101222
41012332100112132023030130
5311403111112033304040
63023511442220152512
7122514321243461456
oct10676202636131434
91457172507085358
10312141420213020
1190504484222532
122b013122098738
1310522a6a991508
145711a224d72d6
1526147abed9bb5
hex11be41678b31c

312141420213020 has 48 divisors (see below), whose sum is σ = 662131515261888. Its totient is φ = 123593387097600.

The previous prime is 312141420212953. The next prime is 312141420213041. The reversal of 312141420213020 is 20312024141213.

It is a happy number.

It is a super-2 number, since 2×3121414202130202 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7600889 + ... + 26116208.

It is an arithmetic number, because the mean of its divisors is an integer number (13794406567956).

Almost surely, 2312141420213020 is an apocalyptic number.

It is an amenable number.

312141420213020 is an abundant number, since it is smaller than the sum of its proper divisors (349990095048868).

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

312141420213020 is a wasteful number, since it uses less digits than its factorization.

312141420213020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33721790 (or 33721788 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 312141420213020 its reverse (20312024141213), we get a palindrome (332453444354233).

The spelling of 312141420213020 in words is "three hundred twelve trillion, one hundred forty-one billion, four hundred twenty million, two hundred thirteen thousand, twenty".

Divisors: 1 2 4 5 10 20 101 202 404 505 1010 2020 4583 9166 18332 22915 45830 91660 462883 925766 1851532 2314415 4628830 9257660 33717097 67434194 134868388 168585485 337170970 674341940 3405426797 6810853594 13621707188 17027133985 34054267970 68108535940 154525455551 309050911102 618101822204 772627277755 1545254555510 3090509111020 15607071010651 31214142021302 62428284042604 78035355053255 156070710106510 312141420213020