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202001221211112 = 233226981112860219
BaseRepresentation
bin101101111011100000010011…
…000010001101001111101000
3222111020010110102101212020200
4231323200103002031033220
5202434042000112223422
61553342025133152200
760356051400043041
oct5573402302151750
9874203412355220
10202001221211112
1159400267238114
121a7a523432b660
13889383083317b
1437c4ca87658c8
1518547ae3972ac
hexb7b81308d3e8

202001221211112 has 96 divisors (see below), whose sum is σ = 549797553396000. Its totient is φ = 67000706962560.

The previous prime is 202001221210973. The next prime is 202001221211129. The reversal of 202001221211112 is 211112122100202.

202001221211112 is a `hidden beast` number, since 20 + 200 + 1 + 221 + 211 + 1 + 12 = 666.

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

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 23 ways as a sum of consecutive naturals, for example, 9277339 + ... + 22137557.

It is an arithmetic number, because the mean of its divisors is an integer number (5727057847875).

Almost surely, 2202001221211112 is an apocalyptic number.

It is an amenable number.

202001221211112 is an abundant number, since it is smaller than the sum of its proper divisors (347796332184888).

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

202001221211112 is a wasteful number, since it uses less digits than its factorization.

202001221211112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12861311 (or 12861304 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 202001221211112 its reverse (211112122100202), we get a palindrome (413113343311314).

The spelling of 202001221211112 in words is "two hundred two trillion, one billion, two hundred twenty-one million, two hundred eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 269 538 807 811 1076 1614 1622 2152 2421 2433 3228 3244 4842 4866 6456 6488 7299 9684 9732 14598 19368 19464 29196 58392 218159 436318 654477 872636 1308954 1745272 1963431 2617908 3926862 5235816 7853724 12860219 15707448 25720438 38580657 51440876 77161314 102881752 115741971 154322628 231483942 308645256 462967884 925935768 3459398911 6918797822 10378196733 10429637609 13837595644 20756393466 20859275218 27675191288 31134590199 31288912827 41512786932 41718550436 62269180398 62577825654 83025573864 83437100872 93866738481 124538360796 125155651308 187733476962 249076721592 250311302616 375466953924 750933907848 2805572516821 5611145033642 8416717550463 11222290067284 16833435100926 22444580134568 25250152651389 33666870201852 50500305302778 67333740403704 101000610605556 202001221211112