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212201891148 = 223132104636041
BaseRepresentation
bin1100010110100000110…
…1111110010101001100
3202021201201021222102210
43011220031332111030
511434042141004043
6241252330550420
721221363212452
oct3055015762514
9667651258383
10212201891148
1181aa3487665
1235161b98410
131701a250a00
14a3b08549d2
1557be7c4633
hex316837e54c

212201891148 has 36 divisors (see below), whose sum is σ = 536155079208. Its totient is φ = 65292888960.

The previous prime is 212201891137. The next prime is 212201891149. The reversal of 212201891148 is 841198102212.

212201891148 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (212201891149) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 52315993 + ... + 52320048.

Almost surely, 2212201891148 is an apocalyptic number.

It is an amenable number.

212201891148 is an abundant number, since it is smaller than the sum of its proper divisors (323953188060).

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

212201891148 is a wasteful number, since it uses less digits than its factorization.

212201891148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104636074 (or 104636059 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 39.

The spelling of 212201891148 in words is "two hundred twelve billion, two hundred one million, eight hundred ninety-one thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 169 338 507 676 1014 2028 104636041 209272082 313908123 418544164 627816246 1255632492 1360268533 2720537066 4080805599 5441074132 8161611198 16323222396 17683490929 35366981858 53050472787 70733963716 106100945574 212201891148