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20330131002120 = 23325297891895753
BaseRepresentation
bin1001001111101011110100…
…01111001001001100001000
32122222112121210012000220100
410213311322033021030020
510131042102014031440
6111123311103125400
74165542412156422
oct447657217111410
978875553160810
1020330131002120
116528a61a44185
1223441478a3860
13b4617a684384
14503daad89812
15253c778e9230
hex127d7a3c9308

20330131002120 has 96 divisors (see below), whose sum is σ = 66075178642200. Its totient is φ = 5421183415296.

The previous prime is 20330131002119. The next prime is 20330131002127. The reversal of 20330131002120 is 2120013103302.

20330131002120 is a `hidden beast` number, since 2 + 0 + 330 + 1 + 310 + 0 + 2 + 1 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4601308144356 + 15728822857764 = 2145066^2 + 3965958^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 20330131002093 and 20330131002102.

It is not an unprimeable number, because it can be changed into a prime (20330131002127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9776164 + ... + 11671916.

Almost surely, 220330131002120 is an apocalyptic number.

20330131002120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20330131002120 is an abundant number, since it is smaller than the sum of its proper divisors (45745047640080).

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

20330131002120 is a wasteful number, since it uses less digits than its factorization.

20330131002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1925559 (or 1925552 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 20330131002120 its reverse (2120013103302), we get a palindrome (22450144105422).

The spelling of 20330131002120 in words is "twenty trillion, three hundred thirty billion, one hundred thirty-one million, two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 29789 59578 89367 119156 148945 178734 238312 268101 297890 357468 446835 536202 595780 714936 893670 1072404 1191560 1340505 1787340 1895753 2144808 2681010 3574680 3791506 5362020 5687259 7583012 9478765 10724040 11374518 15166024 17061777 18957530 22749036 28436295 34123554 37915060 45498072 56872590 68247108 75830120 85308885 113745180 136494216 170617770 227490360 341235540 682471080 56472586117 112945172234 169417758351 225890344468 282362930585 338835516702 451780688936 508253275053 564725861170 677671033404 847088791755 1016506550106 1129451722340 1355342066808 1694177583510 2033013100212 2258903444680 2541266375265 3388355167020 4066026200424 5082532750530 6776710334040 10165065501060 20330131002120