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101102111111220 = 223559129001221393
BaseRepresentation
bin10110111111001110101011…
…011010110011100000110100
3111020222021012221210212011220
4112333032223122303200310
5101222424110421024340
6555005400232430340
730203246364052062
oct2677165332634064
9436867187725156
10101102111111220
112a23a189aa528a
12b40a3245483b0
134454b713cc64b
141ad7522819032
15ba4d7077eed0
hex5bf3ab6b3834

101102111111220 has 96 divisors (see below), whose sum is σ = 287887509383040. Its totient is φ = 26503279104000.

The previous prime is 101102111111219. The next prime is 101102111111251. The reversal of 101102111111220 is 22111111201101.

It is a super-2 number, since 2×1011021111112202 (a number of 29 digits) contains 22 as substring.

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 101102111111220.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 456552844 + ... + 456774236.

It is an arithmetic number, because the mean of its divisors is an integer number (2998828222740).

Almost surely, 2101102111111220 is an apocalyptic number.

101102111111220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101102111111220 is an abundant number, since it is smaller than the sum of its proper divisors (186785398271820).

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

101102111111220 is a wasteful number, since it uses less digits than its factorization.

101102111111220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350465 (or 350463 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 101102111111220 its reverse (22111111201101), we get a palindrome (123213222312321).

The spelling of 101102111111220 in words is "one hundred one trillion, one hundred two billion, one hundred eleven million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 59 60 118 177 236 295 354 590 708 885 1180 1770 3540 129001 221393 258002 387003 442786 516004 645005 664179 774006 885572 1106965 1290010 1328358 1548012 1935015 2213930 2580020 2656716 3320895 3870030 4427860 6641790 7611059 7740060 13062187 13283580 15222118 22833177 26124374 30444236 38055295 39186561 45666354 52248748 65310935 76110590 78373122 91332708 114165885 130621870 152221180 156746244 195932805 228331770 261243740 391865610 456663540 783731220 28559918393 57119836786 85679755179 114239673572 142799591965 171359510358 285599183930 342719020716 428398775895 571198367860 856797551790 1685035185187 1713595103580 3370070370374 5055105555561 6740140740748 8425175925935 10110211111122 16850351851870 20220422222244 25275527777805 33700703703740 50551055555610 101102111111220