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211142010044 = 227371013320113
BaseRepresentation
bin1100010010100100001…
…0110110010010111100
3202011222211221102220002
43010221002312102330
511424404323310134
6240555230013432
721153203321210
oct3045102662274
9664884842802
10211142010044
11815aa184269
1234b07047278
1316bab7a8a24
14a30db9a940
15575b71587e
hex31290b64bc

211142010044 has 48 divisors (see below), whose sum is σ = 433761467328. Its totient is φ = 88030706688.

The previous prime is 211142010031. The next prime is 211142010059. The reversal of 211142010044 is 440010241112.

It is a junction number, because it is equal to n+sod(n) for n = 211142009998 and 211142010025.

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 15 ways as a sum of consecutive naturals, for example, 10487732 + ... + 10507844.

It is an arithmetic number, because the mean of its divisors is an integer number (9036697236).

Almost surely, 2211142010044 is an apocalyptic number.

It is an amenable number.

211142010044 is an abundant number, since it is smaller than the sum of its proper divisors (222619457284).

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

211142010044 is a wasteful number, since it uses less digits than its factorization.

211142010044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30294 (or 30292 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 211142010044 its reverse (440010241112), we get a palindrome (651152251156).

The spelling of 211142010044 in words is "two hundred eleven billion, one hundred forty-two million, ten thousand, forty-four".

Divisors: 1 2 4 7 14 28 37 74 148 259 518 1036 10133 20113 20266 40226 40532 70931 80452 140791 141862 281582 283724 374921 563164 744181 749842 1488362 1499684 2624447 2976724 5209267 5248894 10418534 10497788 20837068 203805029 407610058 815220116 1426635203 2853270406 5706540812 7540786073 15081572146 30163144292 52785502511 105571005022 211142010044