Search a number
-
+
20121121601010 = 23251072089420727
BaseRepresentation
bin1001001001100110100000…
…10011100011010111110010
32122020120010120010100111100
410210303100103203113302
510114131024112213020
6110443303214225230
74144463102445033
oct444632023432762
978216116110440
1020121121601010
116458357650641
12230b736ab5216
13b2c54b972b31
144d7c20526a8a
1524d5e353ca90
hex124cd04e35f2

20121121601010 has 48 divisors (see below), whose sum is σ = 52803840638016. Its totient is φ = 5315486326944.

The previous prime is 20121121601003. The next prime is 20121121601017. The reversal of 20121121601010 is 1010612112102.

20121121601010 is a `hidden beast` number, since 20 + 1 + 2 + 11 + 21 + 601 + 0 + 10 = 666.

It is an interprime number because it is at equal distance from previous prime (20121121601003) and next prime (20121121601017).

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 (20121121601017) 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, 1044700734 + ... + 1044719993.

It is an arithmetic number, because the mean of its divisors is an integer number (1100080013292).

Almost surely, 220121121601010 is an apocalyptic number.

20121121601010 is an abundant number, since it is smaller than the sum of its proper divisors (32682719037006).

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

20121121601010 is a wasteful number, since it uses less digits than its factorization.

20121121601010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2089420847 (or 2089420844 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 20121121601010 its reverse (1010612112102), we get a palindrome (21131733713112).

The spelling of 20121121601010 in words is "twenty trillion, one hundred twenty-one billion, one hundred twenty-one million, six hundred one thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 107 214 321 535 642 963 1070 1605 1926 3210 4815 9630 2089420727 4178841454 6268262181 10447103635 12536524362 18804786543 20894207270 31341310905 37609573086 62682621810 94023932715 188047865430 223568017789 447136035578 670704053367 1117840088945 1341408106734 2012112160101 2235680177890 3353520266835 4024224320202 6707040533670 10060560800505 20121121601010