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201022002202221 = 33472111942338653
BaseRepresentation
bin101101101101010000010101…
…000010001000011001101101
3222100202111220222002011102000
4231231100111002020121231
5202322021030030432341
61551312122151322513
760225234416563644
oct5555202502103155
9870674828064360
10201022002202221
1159062a52679442
121a6674b1980439
1388223a799ab95
14378d73422235b
15183909c21b8b6
hexb6d41508866d

201022002202221 has 64 divisors (see below), whose sum is σ = 305611858083840. Its totient is φ = 130531567158720.

The previous prime is 201022002202181. The next prime is 201022002202297. The reversal of 201022002202221 is 122202200220102.

201022002202221 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 220 + 0 + 220 + 2 + 221 = 666.

It is not a de Polignac number, because 201022002202221 - 210 = 201022002201197 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 201022002202194 and 201022002202203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201022002202321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5200663731 + ... + 5200702383.

It is an arithmetic number, because the mean of its divisors is an integer number (4775185282560).

Almost surely, 2201022002202221 is an apocalyptic number.

It is an amenable number.

201022002202221 is a deficient number, since it is larger than the sum of its proper divisors (104589855881619).

201022002202221 is a wasteful number, since it uses less digits than its factorization.

201022002202221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58343 (or 58337 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 201022002202221 its reverse (122202200220102), we get a palindrome (323224202422323).

The spelling of 201022002202221 in words is "two hundred one trillion, twenty-two billion, two million, two hundred two thousand, two hundred twenty-one".

Divisors: 1 3 9 27 47 141 211 423 633 1269 1899 5697 9917 19423 29751 38653 58269 89253 115959 174807 267759 347877 524421 912881 1043631 1816691 2738643 4098253 5450073 8155783 8215929 12294759 16350219 24467349 24647787 36884277 49050657 73402047 110652831 192617891 220206141 383321801 577853673 750757219 1149965403 1733561019 2252271657 3449896209 5200683057 6756814971 10349688627 20270444913 35285589293 105856767879 158409773209 317570303637 475229319627 952710910911 1425687958881 4277063876643 7445259340823 22335778022469 67007334067407 201022002202221