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211052010630 = 23571392925219
BaseRepresentation
bin1100010010001110101…
…1100001110010000110
3202011202120120222220110
43010203223201302012
511424213303320010
6240542253013450
721151031330226
oct3044353416206
9664676528813
10211052010630
11815633a338a
1234aa0a84286
1316b95c57136
14a301c50086
155753889120
hex3123ae1c86

211052010630 has 64 divisors (see below), whose sum is σ = 513810086400. Its totient is φ = 55471530240.

The previous prime is 211052010629. The next prime is 211052010643. The reversal of 211052010630 is 36010250112.

It is a junction number, because it is equal to n+sod(n) for n = 211052010597 and 211052010606.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 8356161 + ... + 8381379.

It is an arithmetic number, because the mean of its divisors is an integer number (8028282600).

Almost surely, 2211052010630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211052010630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256905043200).

211052010630 is an abundant number, since it is smaller than the sum of its proper divisors (302758075770).

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

211052010630 is a wasteful number, since it uses less digits than its factorization.

211052010630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29229.

The product of its (nonzero) digits is 360, while the sum is 21.

Adding to 211052010630 its reverse (36010250112), we get a palindrome (247062260742).

The spelling of 211052010630 in words is "two hundred eleven billion, fifty-two million, ten thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 71 142 213 355 426 710 1065 2130 3929 7858 11787 19645 23574 25219 39290 50438 58935 75657 117870 126095 151314 252190 278959 378285 557918 756570 836877 1394795 1673754 1790549 2789590 3581098 4184385 5371647 8368770 8952745 10743294 17905490 26858235 53716470 99085451 198170902 297256353 495427255 594512706 990854510 1486281765 2972563530 7035067021 14070134042 21105201063 35175335105 42210402126 70350670210 105526005315 211052010630