Search a number
-
+
2101210021020 = 22351131467219911
BaseRepresentation
bin11110100100111001111…
…000000111110010011100
321102212120221100122000010
4132210321320013302130
5233411234231133040
64245141011003220
7304543641326445
oct36447170076234
97385527318003
102101210021020
11740133307660
1229b28ab99510
131231b2966586
14739b04cc2cc
15399cd581e80
hex1e939e07c9c

2101210021020 has 192 divisors, whose sum is σ = 6639498657792. Its totient is φ = 491894688000.

The previous prime is 2101210020967. The next prime is 2101210021021. The reversal of 2101210021020 is 201200121012.

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

It is a junction number, because it is equal to n+sod(n) for n = 2101210020987 and 2101210021005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101210021021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9444865 + ... + 9664775.

It is an arithmetic number, because the mean of its divisors is an integer number (34580722176).

Almost surely, 22101210021020 is an apocalyptic number.

2101210021020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101210021020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3319749328896).

2101210021020 is an abundant number, since it is smaller than the sum of its proper divisors (4538288636772).

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

2101210021020 is a wasteful number, since it uses less digits than its factorization.

2101210021020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220432 (or 220430 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2101210021020 its reverse (201200121012), we get a palindrome (2302410142032).

The spelling of 2101210021020 in words is "two trillion, one hundred one billion, two hundred ten million, twenty-one thousand, twenty".