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101102021220210 = 23519263791463453
BaseRepresentation
bin10110111111001110100110…
…000011111001011101110010
3111020222020222200122220220020
4112333032212003321131302
5101222423414413021320
6555005343302024310
730203244223022133
oct2677164603713562
9436866880586806
10101102021220210
112a23a14328889a
12b40a2ba418096
134454b588b81ba
141ad75148d9c8a
15ba4d67925940
hex5bf3a60f9772

101102021220210 has 96 divisors (see below), whose sum is σ = 256128099416640. Its totient is φ = 25537541798016.

The previous prime is 101102021220139. The next prime is 101102021220323. The reversal of 101102021220210 is 12022120201101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101102021220210.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68352844 + ... + 69816296.

It is an arithmetic number, because the mean of its divisors is an integer number (2668001035590).

Almost surely, 2101102021220210 is an apocalyptic number.

101102021220210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101102021220210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128064049708320).

101102021220210 is an abundant number, since it is smaller than the sum of its proper divisors (155026078196430).

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

101102021220210 is a wasteful number, since it uses less digits than its factorization.

101102021220210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1469880 (or 1469861 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101102021220210 its reverse (12022120201101), we get a palindrome (113124141421311).

The spelling of 101102021220210 in words is "one hundred one trillion, one hundred two billion, twenty-one million, two hundred twenty thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 285 361 570 722 1083 1805 2166 3610 5415 6379 10830 12758 19137 31895 38274 63790 95685 121201 191370 242402 363603 606005 727206 1212010 1463453 1818015 2302819 2926906 3636030 4390359 4605638 6908457 7317265 8780718 11514095 13816914 14634530 21951795 23028190 27805607 34542285 43903590 55611214 69084570 83416821 139028035 166833642 278056070 417084105 528306533 834168210 1056613066 1584919599 2641532665 3169839198 5283065330 7924597995 9335366687 15849195990 18670733374 28006100061 46676833435 56012200122 93353666870 140030500305 177371967053 280061000610 354743934106 532115901159 886859835265 1064231802318 1773719670530 2660579505795 3370067374007 5321159011590 6740134748014 10110202122021 16850336870035 20220404244042 33700673740070 50551010610105 101102021220210