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201020111211012 = 223374129337688171
BaseRepresentation
bin101101101101001110100100…
…010100100100101000000100
3222100202100001011211212010120
4231231032210110210220010
5202322003141432223022
61551311210401021540
760225136515455022
oct5555164424445004
9870670034755116
10201020111211012
1159062172216795
121a6670646248b0
138822165c9c982
14378d5d5021712
151838edb1dcd5c
hexb6d3a4524a04

201020111211012 has 96 divisors (see below), whose sum is σ = 495157454918784. Its totient is φ = 63388486886400.

The previous prime is 201020111210981. The next prime is 201020111211061. The reversal of 201020111211012 is 210112111020102.

It is a happy number.

It is a super-2 number, since 2×2010201112110122 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201020111210982 and 201020111211000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13510314 + ... + 24177857.

It is an arithmetic number, because the mean of its divisors is an integer number (5157890155404).

Almost surely, 2201020111211012 is an apocalyptic number.

It is an amenable number.

201020111211012 is an abundant number, since it is smaller than the sum of its proper divisors (294137343707772).

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

201020111211012 is a wasteful number, since it uses less digits than its factorization.

201020111211012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37688549 (or 37688547 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 201020111211012 its reverse (210112111020102), we get a palindrome (411132222231114).

The spelling of 201020111211012 in words is "two hundred one trillion, twenty billion, one hundred eleven million, two hundred eleven thousand, twelve".

Divisors: 1 2 3 4 6 12 37 41 74 82 111 123 148 164 222 246 293 444 492 586 879 1172 1517 1758 3034 3516 4551 6068 9102 10841 12013 18204 21682 24026 32523 36039 43364 48052 65046 72078 130092 144156 444481 888962 1333443 1777924 2666886 5333772 37688171 75376342 113064513 150752684 226129026 452258052 1394462327 1545215011 2788924654 3090430022 4183386981 4635645033 5577849308 6180860044 8366773962 9271290066 11042634103 16733547924 18542580132 22085268206 33127902309 44170536412 57172955407 66255804618 114345910814 132511609236 171518866221 228691821628 343037732442 408577461811 452747998223 686075464884 817154923622 905495996446 1225732385433 1358243994669 1634309847244 1810991992892 2451464770866 2716487989338 4902929541732 5432975978676 16751675934251 33503351868502 50255027802753 67006703737004 100510055605506 201020111211012