Search a number
-
+
2021011512 = 23313338329
BaseRepresentation
bin111100001110110…
…0011000000111000
312012211220000121020
41320131203000320
513114334332022
6532313142440
7101040212562
oct17035430070
95184800536
102021011512
11947898953
124849baa20
13262923000
141525a8332
15bc66335c
hex78763038

2021011512 has 64 divisors (see below), whose sum is σ = 5473524000. Its totient is φ = 621833472.

The previous prime is 2021011511. The next prime is 2021011543. The reversal of 2021011512 is 2151101202.

It is a super-2 number, since 2×20210115122 = 8168975063273052288, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2021011491 and 2021011500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2021011511) 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, 33564 + ... + 71892.

Almost surely, 22021011512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2021011512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2736762000).

2021011512 is an abundant number, since it is smaller than the sum of its proper divisors (3452512488).

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

2021011512 is a wasteful number, since it uses less digits than its factorization.

2021011512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38377 (or 38347 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 2021011512 is about 44955.6616234263. The cubic root of 2021011512 is about 1264.3178295322.

Adding to 2021011512 its reverse (2151101202), we get a palindrome (4172112714).

The spelling of 2021011512 in words is "two billion, twenty-one million, eleven thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 169 312 338 507 676 1014 1352 2028 2197 4056 4394 6591 8788 13182 17576 26364 38329 52728 76658 114987 153316 229974 306632 459948 498277 919896 996554 1494831 1993108 2989662 3986216 5979324 6477601 11958648 12955202 19432803 25910404 38865606 51820808 77731212 84208813 155462424 168417626 252626439 336835252 505252878 673670504 1010505756 2021011512