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20131321000410 = 232513111231520473
BaseRepresentation
bin1001001001111001100000…
…01111001011000111011010
32122021112110101002112011200
410210330300033023013122
510114312421134003120
6110452111242535030
74145303621063244
oct444746017130732
978245411075150
1020131321000410
116461710978344
122311702807476
13b304b5a670c9
144d850ad53094
1524d9ddb86e90
hex124f303cb1da

20131321000410 has 96 divisors (see below), whose sum is σ = 52787986625088. Its totient is φ = 5322625102080.

The previous prime is 20131321000363. The next prime is 20131321000447. The reversal of 20131321000410 is 1400012313102.

20131321000410 is a `hidden beast` number, since 20 + 1 + 3 + 132 + 100 + 0 + 410 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12479934 + ... + 14000406.

It is an arithmetic number, because the mean of its divisors is an integer number (549874860678).

Almost surely, 220131321000410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20131321000410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26393993312544).

20131321000410 is an abundant number, since it is smaller than the sum of its proper divisors (32656665624678).

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

20131321000410 is a wasteful number, since it uses less digits than its factorization.

20131321000410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1521740 (or 1521737 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 20131321000410 its reverse (1400012313102), we get a palindrome (21531333313512).

The spelling of 20131321000410 in words is "twenty trillion, one hundred thirty-one billion, three hundred twenty-one million, four hundred ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 131 262 393 655 786 1123 1179 1310 1965 2246 2358 3369 3930 5615 5895 6738 10107 11230 11790 16845 20214 33690 50535 101070 147113 294226 441339 735565 882678 1324017 1471130 1520473 2206695 2648034 3040946 4413390 4561419 6620085 7602365 9122838 13240170 13684257 15204730 22807095 27368514 45614190 68421285 136842570 199181963 398363926 597545889 995909815 1195091778 1707491179 1792637667 1991819630 2987729445 3414982358 3585275334 5122473537 5975458890 8537455895 8963188335 10244947074 15367420611 17074911790 17926376670 25612367685 30734841222 51224735370 76837103055 153674206110 223681344449 447362688898 671044033347 1118406722245 1342088066694 2013132100041 2236813444490 3355220166735 4026264200082 6710440333470 10065660500205 20131321000410