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201211000020 = 22345314006591
BaseRepresentation
bin1011101101100100011…
…1000011010011010100
3201020100201222212020000
42323121013003103110
511244040004000040
6232233550011300
720352124165212
oct2733107032324
9636321885200
10201211000020
1178373400468
1232bb51a6b30
1315c88195434
149a4ac75cb2
155379934130
hex2ed91c34d4

201211000020 has 120 divisors (see below), whose sum is σ = 651568017408. Its totient is φ = 51925406400.

The previous prime is 201210999991. The next prime is 201211000031. The reversal of 201211000020 is 20000112102.

201211000020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 201210999966 and 201211000011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1953076 + ... + 2053515.

Almost surely, 2201211000020 is an apocalyptic number.

201211000020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201211000020 is an abundant number, since it is smaller than the sum of its proper divisors (450357017388).

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

201211000020 is a wasteful number, since it uses less digits than its factorization.

201211000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4006643 (or 4006632 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 201211000020 its reverse (20000112102), we get a palindrome (221211112122).

The spelling of 201211000020 in words is "two hundred one billion, two hundred eleven million, twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 31 36 45 54 60 62 81 90 93 108 124 135 155 162 180 186 270 279 310 324 372 405 465 540 558 620 810 837 930 1116 1395 1620 1674 1860 2511 2790 3348 4185 5022 5580 8370 10044 12555 16740 25110 50220 4006591 8013182 12019773 16026364 20032955 24039546 36059319 40065910 48079092 60098865 72118638 80131820 108177957 120197730 124204321 144237276 180296595 216355914 240395460 248408642 324533871 360593190 372612963 432711828 496817284 540889785 621021605 649067742 721186380 745225926 1081779570 1117838889 1242043210 1298135484 1490451852 1622669355 1863064815 2163559140 2235677778 2484086420 3245338710 3353516667 3726129630 4471355556 5589194445 6490677420 6707033334 7452259260 10060550001 11178388890 13414066668 16767583335 20121100002 22356777780 33535166670 40242200004 50302750005 67070333340 100605500010 201211000020