Search a number
-
+
202110010000212 = 22367409614622517
BaseRepresentation
bin101101111101000101100111…
…010110100000001101010100
3222111121112021002200221121210
4231331011213112200031110
5202442332300030001322
61553504020134341420
760366652313353266
oct5575054726401524
9874545232627553
10202110010000212
1159442412714586
121a8023354ba870
1388a0b7a111b22
1437ca268b3bb36
151857529e8c70c
hexb7d1675a0354

202110010000212 has 48 divisors (see below), whose sum is σ = 479798922451520. Its totient is φ = 66202220443392.

The previous prime is 202110010000181. The next prime is 202110010000219. The reversal of 202110010000212 is 212000010011202.

202110010000212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2021100100002122 (a number of 29 digits) contains 22 as substring.

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 (202110010000219) 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, 306982423 + ... + 307640094.

Almost surely, 2202110010000212 is an apocalyptic number.

It is an amenable number.

202110010000212 is an abundant number, since it is smaller than the sum of its proper divisors (277688912451308).

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

202110010000212 is a wasteful number, since it uses less digits than its factorization.

202110010000212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614623000 (or 614622998 counting only the distinct ones).

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

Adding to 202110010000212 its reverse (212000010011202), we get a palindrome (414110020011414).

The spelling of 202110010000212 in words is "two hundred two trillion, one hundred ten billion, ten million, two hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 67 134 201 268 402 409 804 818 1227 1636 2454 4908 27403 54806 82209 109612 164418 328836 614622517 1229245034 1843867551 2458490068 3687735102 7375470204 41179708639 82359417278 123539125917 164718834556 247078251834 251380609453 494156503668 502761218906 754141828359 1005522437812 1508283656718 3016567313436 16842500833351 33685001666702 50527502500053 67370003333404 101055005000106 202110010000212