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20213011314120 = 2335195978595283
BaseRepresentation
bin1001001100010001101010…
…10110111111010111001000
32122120100022111211102200010
410212020311112333113020
510122132221344022440
6110553421301511520
74154225156225202
oct446106526772710
978510274742603
1020213011314120
116493320a310a9
1223255007125a0
13b38104136641
144dc45a3b1772
15250bc0744580
hex1262355bf5c8

20213011314120 has 64 divisors (see below), whose sum is σ = 60642135299520. Its totient is φ = 5389860674304.

The previous prime is 20213011314113. The next prime is 20213011314127. The reversal of 20213011314120 is 2141311031202.

It is an interprime number because it is at equal distance from previous prime (20213011314113) and next prime (20213011314127).

It is a super-2 number, since 2×202130113141202 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20213011314127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1946002 + ... + 6649281.

It is an arithmetic number, because the mean of its divisors is an integer number (947533364055).

Almost surely, 220213011314120 is an apocalyptic number.

20213011314120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20213011314120 is an abundant number, since it is smaller than the sum of its proper divisors (40429123985400).

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

20213011314120 is a wasteful number, since it uses less digits than its factorization.

20213011314120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8614894 (or 8614890 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 20213011314120 its reverse (2141311031202), we get a palindrome (22354322345322).

The spelling of 20213011314120 in words is "twenty trillion, two hundred thirteen billion, eleven million, three hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 19597 39194 58791 78388 97985 117582 156776 195970 235164 293955 391940 470328 587910 783880 1175820 2351640 8595283 17190566 25785849 34381132 42976415 51571698 68762264 85952830 103143396 128929245 171905660 206286792 257858490 343811320 515716980 1031433960 168441760951 336883521902 505325282853 673767043804 842208804755 1010650565706 1347534087608 1684417609510 2021301131412 2526626414265 3368835219020 4042602262824 5053252828530 6737670438040 10106505657060 20213011314120