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202212100000212 = 223193313278948639
BaseRepresentation
bin101101111110100100101100…
…011000111100100111010100
3222111222021202221001021212220
4231332210230120330213110
5203001020340100001322
61554022542321342340
760410225226136251
oct5576445430744724
9874867687037786
10202212100000212
1159481740878605
121a81a0871979b0
1388aa69991a853
1437d11915a4428
15185a00291655c
hexb7e92c63c9d4

202212100000212 has 48 divisors (see below), whose sum is σ = 475788189918720. Its totient is φ = 66840556843008.

The previous prime is 202212100000177. The next prime is 202212100000213. The reversal of 202212100000212 is 212000001212202.

It is a junction number, because it is equal to n+sod(n) for n = 202212100000191 and 202212100000200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202212100000213) 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, 138749412 + ... + 140199227.

It is an arithmetic number, because the mean of its divisors is an integer number (9912253956640).

Almost surely, 2202212100000212 is an apocalyptic number.

It is an amenable number.

202212100000212 is an abundant number, since it is smaller than the sum of its proper divisors (273576089918508).

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

202212100000212 is a wasteful number, since it uses less digits than its factorization.

202212100000212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278949152 (or 278949150 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 202212100000212 its reverse (212000001212202), we get a palindrome (414212101212414).

The spelling of 202212100000212 in words is "two hundred two trillion, two hundred twelve billion, one hundred million, two hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 193 313 386 579 626 772 939 1158 1252 1878 2316 3756 60409 120818 181227 241636 362454 724908 278948639 557897278 836845917 1115794556 1673691834 3347383668 53837087327 87310924007 107674174654 161511261981 174621848014 215348349308 261932772021 323022523962 349243696028 523865544042 646045047924 1047731088084 16851008333351 33702016666702 50553025000053 67404033333404 101106050000106 202212100000212