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20201132214 = 234295381131
BaseRepresentation
bin10010110100000101…
…001101000010110110
31221010211222211210000
4102310011031002312
5312332442212324
613140312212130
71313413535124
oct226405150266
957124884700
1020201132214
11862701569a
123ab939a046
131b9c26a393
14d98cc0914
157d374a9c9
hex4b414d0b6

20201132214 has 80 divisors (see below), whose sum is σ = 47710483920. Its totient is φ = 6378765120.

The previous prime is 20201132213. The next prime is 20201132221. The reversal of 20201132214 is 41223110202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20201132213) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 208429 + ... + 289559.

It is an arithmetic number, because the mean of its divisors is an integer number (596381049).

Almost surely, 220201132214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20201132214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23855241960).

20201132214 is an abundant number, since it is smaller than the sum of its proper divisors (27509351706).

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

20201132214 is a wasteful number, since it uses less digits than its factorization.

20201132214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81227 (or 81218 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 20201132214 its reverse (41223110202), we get a palindrome (61424242416).

The spelling of 20201132214 in words is "twenty billion, two hundred one million, one hundred thirty-two thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 27 29 53 54 58 81 87 106 159 162 174 261 318 477 522 783 954 1431 1537 1566 2349 2862 3074 4293 4611 4698 8586 9222 13833 27666 41499 81131 82998 124497 162262 243393 248994 486786 730179 1460358 2190537 2352799 4299943 4381074 4705598 6571611 7058397 8599886 12899829 13143222 14116794 21175191 25799658 38699487 42350382 63525573 77398974 116098461 124698347 127051146 190576719 232196922 249396694 348295383 374095041 381153438 696590766 748190082 1122285123 2244570246 3366855369 6733710738 10100566107 20201132214