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212021102132 = 227452142373
BaseRepresentation
bin1100010101110101110…
…0010100011000110100
3202021021010002221112022
43011131130110120310
511433204400232012
6241222352012312
721214036430000
oct3053534243064
9667233087468
10212021102132
1181a10426154
1235111531098
1316cbb961968
14a394833700
1557ad9b2472
hex315d714634

212021102132 has 60 divisors (see below), whose sum is σ = 433691703396. Its totient is φ = 90689639040.

The previous prime is 212021102131. The next prime is 212021102141. The reversal of 212021102132 is 231201120212.

It can be written as a sum of positive squares in 2 ways, for example, as 32621416996 + 179399685136 = 180614^2 + 423556^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 212021102132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212021102131) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4982498 + ... + 5024870.

Almost surely, 2212021102132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212021102132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216845851698).

212021102132 is an abundant number, since it is smaller than the sum of its proper divisors (221670601264).

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

212021102132 is an equidigital number, since it uses as much as digits as its factorization.

212021102132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42926 (or 42903 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 212021102132 its reverse (231201120212), we get a palindrome (443222222344).

The spelling of 212021102132 in words is "two hundred twelve billion, twenty-one million, one hundred two thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 49 98 196 343 521 686 1042 1372 2084 2401 3647 4802 7294 9604 14588 25529 42373 51058 84746 102116 169492 178703 296611 357406 593222 714812 1186444 1250921 2076277 2501842 4152554 5003684 8305108 14533939 22076333 29067878 44152666 58135756 88305332 101737573 154534331 203475146 309068662 406950292 618137324 1081740317 2163480634 4326961268 7572182219 15144364438 30288728876 53005275533 106010551066 212021102132