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212131101001332 = 223233777243268927
BaseRepresentation
bin110000001110111010011110…
…111010111100011001110100
31000211002112110011101001212210
4300032322132322330121310
5210301023443324020312
62031055403225013420
762452652302421022
oct6016723672743164
91024075404331783
10212131101001332
11616563272a5937
121b960518624270
139149b52994966
143a552b2dcb712
15197d03b805e3c
hexc0ee9eebc674

212131101001332 has 96 divisors (see below), whose sum is σ = 530461228695552. Its totient is φ = 65806906467456.

The previous prime is 212131101001331. The next prime is 212131101001333. The reversal of 212131101001332 is 233100101131212.

It is an interprime number because it is at equal distance from previous prime (212131101001331) and next prime (212131101001333).

It is a junction number, because it is equal to n+sod(n) for n = 212131101001299 and 212131101001308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212131101001331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 788671053 + ... + 788939979.

It is an arithmetic number, because the mean of its divisors is an integer number (5525637798912).

Almost surely, 2212131101001332 is an apocalyptic number.

It is an amenable number.

212131101001332 is an abundant number, since it is smaller than the sum of its proper divisors (318330127694220).

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

212131101001332 is a wasteful number, since it uses less digits than its factorization.

212131101001332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346237 (or 346235 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 212131101001332 its reverse (233100101131212), we get a palindrome (445231202132544).

The spelling of 212131101001332 in words is "two hundred twelve trillion, one hundred thirty-one billion, one hundred one million, one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 23 37 46 69 74 92 111 138 148 222 276 444 851 1702 2553 3404 5106 10212 77243 154486 231729 268927 308972 463458 537854 806781 926916 1075708 1613562 1776589 2857991 3227124 3553178 5329767 5715982 6185321 7106356 8573973 9950299 10659534 11431964 12370642 17147946 18555963 19900598 21319068 24741284 29850897 34295892 37111926 39801196 59701794 65733793 74223852 119403588 131467586 197201379 228856877 262935172 394402758 457713754 686570631 788805516 915427508 1373141262 2746282524 20772728261 41545456522 62318184783 83090913044 124636369566 249272739132 477772750003 768590945657 955545500006 1433318250009 1537181891314 1911091000012 2305772836971 2866636500018 3074363782628 4611545673942 5733273000036 9223091347884 17677591750111 35355183500222 53032775250333 70710367000444 106065550500666 212131101001332