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211201231011220 = 225109312131041749
BaseRepresentation
bin110000000001011000011110…
…010110011011110110010100
31000200210122021220221021022101
4300001120132112123312110
5210140310110114324340
62025104301152011444
762325533251053142
oct6001303626336624
91020718256837271
10211201231011220
1161327a369a03aa
121b830268b30b84
1390b0262a638b8
143a222a0960592
151963c66cd1c9a
hexc0161e59bd94

211201231011220 has 48 divisors (see below), whose sum is σ = 447735026970000. Its totient is φ = 83678619248640.

The previous prime is 211201231011203. The next prime is 211201231011229. The reversal of 211201231011220 is 22110132102112.

It can be written as a sum of positive squares in 8 ways, for example, as 74106685458576 + 137094545552644 = 8608524^2 + 11708738^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211201231011229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8717095 + ... + 22324654.

It is an arithmetic number, because the mean of its divisors is an integer number (9327813061875).

Almost surely, 2211201231011220 is an apocalyptic number.

211201231011220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211201231011220 is an abundant number, since it is smaller than the sum of its proper divisors (236533795958780).

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

211201231011220 is a wasteful number, since it uses less digits than its factorization.

211201231011220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31044988 (or 31044986 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 211201231011220 its reverse (22110132102112), we get a palindrome (233311363113332).

The spelling of 211201231011220 in words is "two hundred eleven trillion, two hundred one billion, two hundred thirty-one million, eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 109 218 436 545 1090 2180 3121 6242 12484 15605 31210 62420 340189 680378 1360756 1700945 3401890 6803780 31041749 62083498 124166996 155208745 310417490 620834980 3383550641 6767101282 13534202564 16917753205 33835506410 67671012820 96881298629 193762597258 387525194516 484406493145 968812986290 1937625972580 10560061550561 21120123101122 42240246202244 52800307752805 105600615505610 211201231011220