Search a number
-
+
202002000121212 = 223234743136130291
BaseRepresentation
bin101101111011100001000001…
…011101100000110101111100
3222111020012110201001121000220
4231323201001131200311330
5202434100044012334322
61553342234320021340
760356106605501004
oct5573410135406574
9874205421047026
10202002000121212
1159400626983875
121a7a5411161850
138893926010815
1437c4d3dda1004
15185480795555c
hexb7b841760d7c

202002000121212 has 96 divisors (see below), whose sum is σ = 503460877860864. Its totient is φ = 62889827985600.

The previous prime is 202002000121211. The next prime is 202002000121261. The reversal of 202002000121212 is 212121000200202.

It is a junction number, because it is equal to n+sod(n) for n = 202002000121191 and 202002000121200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202002000121211) 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, 12474214 + ... + 23656077.

It is an arithmetic number, because the mean of its divisors is an integer number (5244384144384).

Almost surely, 2202002000121212 is an apocalyptic number.

It is an amenable number.

202002000121212 is an abundant number, since it is smaller than the sum of its proper divisors (301458877739652).

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

202002000121212 is a wasteful number, since it uses less digits than its factorization.

202002000121212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36130799 (or 36130797 counting only the distinct ones).

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

Adding to 202002000121212 its reverse (212121000200202), we get a palindrome (414123000321414).

The spelling of 202002000121212 in words is "two hundred two trillion, two billion, one hundred twenty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 23 46 47 69 92 94 138 141 188 276 282 431 564 862 1081 1293 1724 2162 2586 3243 4324 5172 6486 9913 12972 19826 20257 29739 39652 40514 59478 60771 81028 118956 121542 243084 465911 931822 1397733 1863644 2795466 5590932 36130291 72260582 108390873 144521164 216781746 433563492 830996693 1661993386 1698123677 2492990079 3323986772 3396247354 4985980158 5094371031 6792494708 9971960316 10188742062 15572155421 20377484124 31144310842 39056844571 46716466263 62288621684 78113689142 93432932526 117170533713 156227378284 186865865052 234341067426 358159574683 468682134852 716319149366 731891304787 1074478724049 1432638298732 1463782609574 2148957448098 2195673914361 2927565219148 4297914896196 4391347828722 8782695657444 16833500010101 33667000020202 50500500030303 67334000040404 101001000060606 202002000121212