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220100202001212 = 2231310934937088897
BaseRepresentation
bin110010000010111000010010…
…010110101111001100111100
31001212022101002111211122001020
4302002320102112233030330
5212322110203203014322
62100040345324144140
764234500121315641
oct6202702226571474
91055271074748036
10220100202001212
1164148a76035a35
1220828a88398050
1395a748ab8a4a0
143c4cc99a85dc8
151a6a4a0c6205c
hexc82e125af33c

220100202001212 has 96 divisors (see below), whose sum is σ = 559745648616000. Its totient is φ = 66909555228672.

The previous prime is 220100202001157. The next prime is 220100202001231. The reversal of 220100202001212 is 212100202001022.

It is a junction number, because it is equal to n+sod(n) for n = 220100202001191 and 220100202001200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12610053 + ... + 24478844.

It is an arithmetic number, because the mean of its divisors is an integer number (5830683839750).

Almost surely, 2220100202001212 is an apocalyptic number.

It is an amenable number.

220100202001212 is an abundant number, since it is smaller than the sum of its proper divisors (339645446614788).

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

220100202001212 is a wasteful number, since it uses less digits than its factorization.

220100202001212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37089375 (or 37089373 counting only the distinct ones).

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

Adding to 220100202001212 its reverse (212100202001022), we get a palindrome (432200404002234).

The spelling of 220100202001212 in words is "two hundred twenty trillion, one hundred billion, two hundred two million, one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 109 156 218 327 349 436 654 698 1047 1308 1396 1417 2094 2834 4188 4251 4537 5668 8502 9074 13611 17004 18148 27222 38041 54444 76082 114123 152164 228246 456492 494533 989066 1483599 1978132 2967198 5934396 37088897 74177794 111266691 148355588 222533382 445066764 482155661 964311322 1446466983 1928622644 2892933966 4042689773 5785867932 8085379546 12128069319 12944025053 16170759092 24256138638 25888050106 38832075159 48512277276 51776100212 52554967049 77664150318 105109934098 155328300636 157664901147 168272325689 210219868196 315329802294 336544651378 504816977067 630659604588 673089302756 1009633954134 1410898730777 2019267908268 2821797461554 4232696192331 5643594923108 8465392384662 16930784769324 18341683500101 36683367000202 55025050500303 73366734000404 110050101000606 220100202001212