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212002202100 = 223521324181503
BaseRepresentation
bin1100010101110001010…
…0001110000111110100
3202021012210112201120010
43011130110032013310
511433140030431400
6241220434540220
721213416661603
oct3053424160764
9667183481503
10212002202100
1181a00797297
1235107137670
1316cb7a75100
14a392113a3a
1557abecc450
hex315c50e1f4

212002202100 has 108 divisors (see below), whose sum is σ = 664206821376. Its totient is φ = 52185144960.

The previous prime is 212002202059. The next prime is 212002202119. The reversal of 212002202100 is 1202200212.

212002202100 is digitally balanced in base 3, 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 (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2040052 + ... + 2141451.

Almost surely, 2212002202100 is an apocalyptic number.

212002202100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212002202100 is an abundant number, since it is smaller than the sum of its proper divisors (452204619276).

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

212002202100 is a wasteful number, since it uses less digits than its factorization.

212002202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4181546 (or 4181526 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 212002202100 its reverse (1202200212), we get a palindrome (213204402312).

The spelling of 212002202100 in words is "two hundred twelve billion, two million, two hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 169 195 260 300 325 338 390 507 650 676 780 845 975 1014 1300 1690 1950 2028 2535 3380 3900 4225 5070 8450 10140 12675 16900 25350 50700 4181503 8363006 12544509 16726012 20907515 25089018 41815030 50178036 54359539 62722545 83630060 104537575 108719078 125445090 163078617 209075150 217438156 250890180 271797695 313612725 326157234 418150300 543595390 627225450 652314468 706674007 815393085 1087190780 1254450900 1358988475 1413348014 1630786170 2120022021 2717976950 2826696028 3261572340 3533370035 4076965425 4240044042 5435953900 7066740070 8153930850 8480088084 10600110105 14133480140 16307861700 17666850175 21200220210 35333700350 42400440420 53000550525 70667400700 106001101050 212002202100