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211251036020 = 225193715024967
BaseRepresentation
bin1100010010111110001…
…0101111111101110100
3202012021110002112102012
43010233202233331310
511430120231123040
6241014122503352
721155666115203
oct3045742577564
9665243075365
10211251036020
1181655780082
1234b37664b58
1316bc825c93b
14a32045b23a
15576609e865
hex312f8aff74

211251036020 has 48 divisors (see below), whose sum is σ = 479596978560. Its totient is φ = 77889423744.

The previous prime is 211251036011. The next prime is 211251036023. The reversal of 211251036020 is 20630152112.

211251036020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211251036023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7498424 + ... + 7526543.

It is an arithmetic number, because the mean of its divisors is an integer number (9991603720).

Almost surely, 2211251036020 is an apocalyptic number.

211251036020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211251036020 is an abundant number, since it is smaller than the sum of its proper divisors (268345942540).

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

211251036020 is a wasteful number, since it uses less digits than its factorization.

211251036020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15025032 (or 15025030 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

Adding to 211251036020 its reverse (20630152112), we get a palindrome (231881188132).

The spelling of 211251036020 in words is "two hundred eleven billion, two hundred fifty-one million, thirty-six thousand, twenty".

Divisors: 1 2 4 5 10 19 20 37 38 74 76 95 148 185 190 370 380 703 740 1406 2812 3515 7030 14060 15024967 30049934 60099868 75124835 150249670 285474373 300499340 555923779 570948746 1111847558 1141897492 1427371865 2223695116 2779618895 2854743730 5559237790 5709487460 10562551801 11118475580 21125103602 42250207204 52812759005 105625518010 211251036020