Search a number
-
+
20101340121210 = 2325256218717389
BaseRepresentation
bin1001001001000001101010…
…01111001100100001111010
32122011200001221210001121100
410210200311033030201322
510113320021032334320
6110430232252352230
74143162642602205
oct444406517144172
978150057701540
1020101340121210
11644aa26504027
122307936175676
13b2a7186381ba
144d6ca528493c
1524cd36a88790
hex1248353cc87a

20101340121210 has 48 divisors (see below), whose sum is σ = 52265530179720. Its totient is φ = 5360147533440.

The previous prime is 20101340121199. The next prime is 20101340121211. The reversal of 20101340121210 is 1212104310102.

20101340121210 is a `hidden beast` number, since 2 + 0 + 101 + 340 + 1 + 212 + 10 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7494842504241 + 12606497616969 = 2737671^2 + 3550563^2 .

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

It is not an unprimeable number, because it can be changed into a prime (20101340121211) 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, 2052805 + ... + 6664584.

Almost surely, 220101340121210 is an apocalyptic number.

20101340121210 is an abundant number, since it is smaller than the sum of its proper divisors (32164190058510).

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

20101340121210 is a wasteful number, since it uses less digits than its factorization.

20101340121210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8743023 (or 8743020 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 20101340121210 its reverse (1212104310102), we get a palindrome (21313444431312).

The spelling of 20101340121210 in words is "twenty trillion, one hundred one billion, three hundred forty million, one hundred twenty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 25621 51242 76863 128105 153726 230589 256210 384315 461178 768630 1152945 2305890 8717389 17434778 26152167 43586945 52304334 78456501 87173890 130760835 156913002 261521670 392282505 784565010 223348223569 446696447138 670044670707 1116741117845 1340089341414 2010134012121 2233482235690 3350223353535 4020268024242 6700446707070 10050670060605 20101340121210