Search a number
-
+
210200021122122 = 237291657127707
BaseRepresentation
bin101111110010110100000001…
…100101110011110001001010
31000120020220222212220010000000
4233302310001211303301022
5210022404120401401442
62023020320121223430
762163310322320503
oct5762640145636112
91016226885803000
10210200021122122
1160a81368024969
121b6aa209931b76
139039a13c20665
1439c9a41971baa
151947bb9229d4c
hexbf2d01973c4a

210200021122122 has 64 divisors (see below), whose sum is σ = 489184099401600. Its totient is φ = 67650581469744.

The previous prime is 210200021122111. The next prime is 210200021122123. The reversal of 210200021122122 is 221221120002012.

It is a happy number.

210200021122122 is a `hidden beast` number, since 2 + 10 + 200 + 0 + 211 + 221 + 22 = 666.

210200021122122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 210200021122095 and 210200021122104.

It is not an unprimeable number, because it can be changed into a prime (210200021122123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 828437008 + ... + 828690699.

It is an arithmetic number, because the mean of its divisors is an integer number (7643501553150).

Almost surely, 2210200021122122 is an apocalyptic number.

210200021122122 is an abundant number, since it is smaller than the sum of its proper divisors (278984078279478).

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

210200021122122 is an equidigital number, since it uses as much as digits as its factorization.

210200021122122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1657127759 (or 1657127741 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 210200021122122 its reverse (221221120002012), we get a palindrome (431421141124134).

The spelling of 210200021122122 in words is "two hundred ten trillion, two hundred billion, twenty-one million, one hundred twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 29 54 58 81 87 162 174 243 261 486 522 729 783 1458 1566 2187 2349 4374 4698 7047 14094 21141 42282 63423 126846 1657127707 3314255414 4971383121 9942766242 14914149363 29828298726 44742448089 48056703503 89484896178 96113407006 134227344267 144170110509 268454688534 288340221018 402682032801 432510331527 805364065602 865020663054 1208046098403 1297530994581 2416092196806 2595061989162 3624138295209 3892592983743 7248276590418 7785185967486 11677778951229 23355557902458 35033336853687 70066673707374 105100010561061 210200021122122