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212020120032 = 2537315506131
BaseRepresentation
bin1100010101110101100…
…0100100100111100000
3202021021001021001100020
43011131120210213200
511433204122320112
6241222314553440
721214025166510
oct3053530444740
9667231231306
10212020120032
1181a0a9152a6
1235111138880
1316cbb6a9936
14a394659840
1557ad86b48c
hex315d6249e0

212020120032 has 48 divisors (see below), whose sum is σ = 636060362112. Its totient is φ = 60577176960.

The previous prime is 212020120027. The next prime is 212020120033. The reversal of 212020120032 is 230021020212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 212020119993 and 212020120020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212020120033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 157752394 + ... + 157753737.

It is an arithmetic number, because the mean of its divisors is an integer number (13251257544).

Almost surely, 2212020120032 is an apocalyptic number.

It is an amenable number.

212020120032 is an abundant number, since it is smaller than the sum of its proper divisors (424040242080).

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

212020120032 is a wasteful number, since it uses less digits than its factorization.

212020120032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315506151 (or 315506143 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 212020120032 its reverse (230021020212), we get a palindrome (442041140244).

The spelling of 212020120032 in words is "two hundred twelve billion, twenty million, one hundred twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 315506131 631012262 946518393 1262024524 1893036786 2208542917 2524049048 3786073572 4417085834 5048098096 6625628751 7572147144 8834171668 10096196192 13251257502 15144294288 17668343336 26502515004 30288588576 35336686672 53005030008 70673373344 106010060016 212020120032