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211445152520 = 23571136682843
BaseRepresentation
bin1100010011101100011…
…1001111101100001000
3202012202222100200012012
43010323013033230020
511431014424340040
6241045255235052
721163544066420
oct3047307175410
9665688320165
10211445152520
1181745304738
1234b90678a88
1316c29536c84
14a33c14b480
155778145865
hex313b1cfb08

211445152520 has 64 divisors (see below), whose sum is σ = 548527835520. Its totient is φ = 71853917184.

The previous prime is 211445152507. The next prime is 211445152531. The reversal of 211445152520 is 25251544112.

211445152520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 3309782 + ... + 3373061.

It is an arithmetic number, because the mean of its divisors is an integer number (8570747430).

Almost surely, 2211445152520 is an apocalyptic number.

211445152520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211445152520 is an abundant number, since it is smaller than the sum of its proper divisors (337082683000).

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

211445152520 is a wasteful number, since it uses less digits than its factorization.

211445152520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6682974 (or 6682970 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 32.

Adding to 211445152520 its reverse (25251544112), we get a palindrome (236696696632).

The spelling of 211445152520 in words is "two hundred eleven billion, four hundred forty-five million, one hundred fifty-two thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 113 140 226 280 452 565 791 904 1130 1582 2260 3164 3955 4520 6328 7910 15820 31640 6682843 13365686 26731372 33414215 46779901 53462744 66828430 93559802 133656860 187119604 233899505 267313720 374239208 467799010 755161259 935598020 1510322518 1871196040 3020645036 3775806295 5286128813 6041290072 7551612590 10572257626 15103225180 21144515252 26430644065 30206450360 42289030504 52861288130 105722576260 211445152520