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201020112011202 = 2311219311681122819
BaseRepresentation
bin101101101101001110100100…
…010111100111111111000010
3222100202100001020100111210020
4231231032210113213333002
5202322003142133324302
61551311210430114310
760225136525326651
oct5555164427477702
9870670036314706
10201020112011202
1159062172712a00
121a66706494b996
1388221661bcc63
14378d5d518d198
151838edb2e9ebc
hexb6d3a45e7fc2

201020112011202 has 96 divisors (see below), whose sum is σ = 444243325901760. Its totient is φ = 60593881497600.

The previous prime is 201020112011129. The next prime is 201020112011203. The reversal of 201020112011202 is 202110211020102.

It is a super-3 number, since 3×2010201120112023 (a number of 44 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (201020112011203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1636656949 + ... + 1636779767.

It is an arithmetic number, because the mean of its divisors is an integer number (4627534644810).

Almost surely, 2201020112011202 is an apocalyptic number.

201020112011202 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 201020112011202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222121662950880).

201020112011202 is an abundant number, since it is smaller than the sum of its proper divisors (243223213890558).

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

201020112011202 is a wasteful number, since it uses less digits than its factorization.

201020112011202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134720 (or 134709 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 201020112011202 its reverse (202110211020102), we get a palindrome (403130323031304).

The spelling of 201020112011202 in words is "two hundred one trillion, twenty billion, one hundred twelve million, eleven thousand, two hundred two".

Divisors: 1 2 3 6 11 22 33 66 121 193 242 363 386 579 726 1158 2123 4246 6369 11681 12738 23353 23362 35043 46706 70059 70086 122819 128491 140118 245638 256982 368457 385473 736914 770946 1351009 1413401 2254433 2702018 2826802 4053027 4240203 4508866 6763299 8106054 8480406 13526598 14861099 23704067 24798763 29722198 44583297 47408134 49597526 71112201 74396289 89166594 142224402 148792578 260744737 272786393 521489474 545572786 782234211 818359179 1434648739 1564468422 1636718358 2868192107 2869297478 4303946217 5736384214 8604576321 8607892434 15781136129 17209152642 31562272258 47343408387 94686816774 173592497419 276887206627 347184994838 520777492257 553774413254 830661619881 1041554984514 1661323239762 3045759272897 6091518545794 9137277818691 18274555637382 33503352001867 67006704003734 100510056005601 201020112011202