Search a number
-
+
2120212000020 = 2235101349869967
BaseRepresentation
bin11110110110100110011…
…110111010110100010100
321111200122012221011211010
4132312212132322310110
5234214143233000040
64302002325212220
7306115554434232
oct36664636726424
97450565834733
102120212000020
117481a4444734
122a2ab2861070
13124c20647a2a
147489401d952
153a2418ace80
hex1eda67bad14

2120212000020 has 48 divisors (see below), whose sum is σ = 5995371771648. Its totient is φ = 559791945600.

The previous prime is 2120212000007. The next prime is 2120212000021. The reversal of 2120212000020 is 200002120212.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120212000021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174928924 + ... + 174941043.

It is an arithmetic number, because the mean of its divisors is an integer number (124903578576).

Almost surely, 22120212000020 is an apocalyptic number.

2120212000020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120212000020 is an abundant number, since it is smaller than the sum of its proper divisors (3875159771628).

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

2120212000020 is a wasteful number, since it uses less digits than its factorization.

2120212000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349870080 (or 349870078 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2120212000020 its reverse (200002120212), we get a palindrome (2320214120232).

The spelling of 2120212000020 in words is "two trillion, one hundred twenty billion, two hundred twelve million, twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 101 202 303 404 505 606 1010 1212 1515 2020 3030 6060 349869967 699739934 1049609901 1399479868 1749349835 2099219802 3498699670 4198439604 5248049505 6997399340 10496099010 20992198020 35336866667 70673733334 106010600001 141347466668 176684333335 212021200002 353368666670 424042400004 530053000005 706737333340 1060106000010 2120212000020