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211210020112113 = 3211293714471374077
BaseRepresentation
bin110000000001100000101010…
…001110001100011011110001
31000200211110222110011212010200
4300001200222032030123301
5210140431110122041423
62025112313240545413
762326264123144041
oct6001405216143361
91020743873155120
10211210020112113
1161330737134a50
121b831b00482269
1390b1033911a09
143a22895d57721
1519640cd6eed43
hexc0182a38c6f1

211210020112113 has 96 divisors (see below), whose sum is σ = 353842013640960. Its totient is φ = 120168552430080.

The previous prime is 211210020112087. The next prime is 211210020112127. The reversal of 211210020112113 is 311211020012112.

It is a happy number.

211210020112113 is a `hidden beast` number, since 211 + 210 + 0 + 20 + 11 + 211 + 3 = 666.

It is not a de Polignac number, because 211210020112113 - 25 = 211210020112081 is a prime.

It is not an unprimeable number, because it can be changed into a prime (211210020112153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 153023431 + ... + 154397507.

It is an arithmetic number, because the mean of its divisors is an integer number (3685854308760).

Almost surely, 2211210020112113 is an apocalyptic number.

It is an amenable number.

211210020112113 is a deficient number, since it is larger than the sum of its proper divisors (142631993528847).

211210020112113 is a wasteful number, since it uses less digits than its factorization.

211210020112113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1375607 (or 1375604 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 211210020112113 its reverse (311211020012112), we get a palindrome (522421040124225).

The spelling of 211210020112113 in words is "two hundred eleven trillion, two hundred ten billion, twenty million, one hundred twelve thousand, one hundred thirteen".

Divisors: 1 3 9 11 29 33 37 87 99 111 261 319 333 407 957 1073 1221 1447 2871 3219 3663 4341 9657 11803 13023 15917 35409 41963 47751 53539 106227 125889 143253 160617 377667 461593 481851 588929 1374077 1384779 1552631 1766787 4122231 4154337 4657893 5300361 12366693 13973679 15114847 17078941 39848233 45344541 50840849 51236823 119544699 136033623 152522547 153710469 358634097 438330563 457567641 559249339 1314991689 1474384621 1677748017 1988289419 3944975067 4423153863 5033244051 5964868257 13269461589 16218230831 17894604771 21871183609 48654692493 57660393151 65613550827 73566708503 145964077479 172981179453 196840652481 220700125509 518943538359 634264324661 662100376527 809233793533 1902792973983 2133434546587 2427701380599 5708378921949 6400303639761 7283104141797 19200910919283 23467780012457 70403340037371 211210020112113