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201211212020 = 225713193572827
BaseRepresentation
bin1011101101100100011…
…1110111000011110100
3201020100202101122000212
42323121013313003310
511244040032241040
6232233554324552
720352126040250
oct2733107670364
9636322348025
10201211212020
1178373535775
1232bb5289758
1315c8823aa90
149a4accd260
155379976d65
hex2ed91f70f4

201211212020 has 96 divisors (see below), whose sum is σ = 522749084928. Its totient is φ = 63349972992.

The previous prime is 201211212001. The next prime is 201211212071. The reversal of 201211212020 is 20212112102.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 201211211986 and 201211212004.

It is a congruent number.

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, 64847 + ... + 637673.

It is an arithmetic number, because the mean of its divisors is an integer number (5445302968).

Almost surely, 2201211212020 is an apocalyptic number.

201211212020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201211212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261374542464).

201211212020 is an abundant number, since it is smaller than the sum of its proper divisors (321537872908).

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

201211212020 is a wasteful number, since it uses less digits than its factorization.

201211212020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573049 (or 573047 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 201211212020 its reverse (20212112102), we get a palindrome (221423324122).

The spelling of 201211212020 in words is "two hundred one billion, two hundred eleven million, two hundred twelve thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 193 260 364 386 455 772 910 965 1351 1820 1930 2509 2702 3860 5018 5404 6755 10036 12545 13510 17563 25090 27020 35126 50180 70252 87815 175630 351260 572827 1145654 2291308 2864135 4009789 5728270 7446751 8019578 11456540 14893502 16039156 20048945 29787004 37233755 40097890 52127257 74467510 80195780 104254514 110555611 148935020 208509028 221111222 260636285 442222444 521272570 552778055 773889277 1042545140 1105556110 1437222943 1547778554 2211112220 2874445886 3095557108 3869446385 5748891772 7186114715 7738892770 10060560601 14372229430 15477785540 20121121202 28744458860 40242242404 50302803005 100605606010 201211212020