Search a number
-
+
20210213120 = 285101156329
BaseRepresentation
bin10010110100100111…
…110110000100000000
31221011111002012102212
4102310213312010000
5312342303304440
613141235001252
71313553656066
oct226447660400
957144065385
1020210213120
118631158279
123b00439228
131ba10c97b6
14d9a1a6036
157d4441465
hex4b49f6100

20210213120 has 72 divisors (see below), whose sum is σ = 48889393560. Its totient is φ = 8003993600.

The previous prime is 20210213099. The next prime is 20210213143. The reversal of 20210213120 is 2131201202.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6687314176 + 13522898944 = 81776^2 + 116288^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20210213095 and 20210213104.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51116 + ... + 207444.

It is an arithmetic number, because the mean of its divisors is an integer number (679019355).

Almost surely, 220210213120 is an apocalyptic number.

20210213120 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 20210213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24444696780).

20210213120 is an abundant number, since it is smaller than the sum of its proper divisors (28679180440).

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

20210213120 is a wasteful number, since it uses less digits than its factorization.

20210213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156451 (or 156437 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 20210213120 its reverse (2131201202), we get a palindrome (22341414322).

The spelling of 20210213120 in words is "twenty billion, two hundred ten million, two hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 101 128 160 202 256 320 404 505 640 808 1010 1280 1616 2020 3232 4040 6464 8080 12928 16160 25856 32320 64640 129280 156329 312658 625316 781645 1250632 1563290 2501264 3126580 5002528 6253160 10005056 12506320 15789229 20010112 25012640 31578458 40020224 50025280 63156916 78946145 100050560 126313832 157892290 200101120 252627664 315784580 505255328 631569160 1010510656 1263138320 2021021312 2526276640 4042042624 5052553280 10105106560 20210213120