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111201102201020 = 225132491450714867
BaseRepresentation
bin11001010010001100000110…
…001100100000000010111100
3112120201201111000020111122112
4121102030012030200002330
5104033404324130413040
61032301025304233152
732265004656003626
oct3122140614400274
9476651430214575
10111201102201020
1132483139205217
121057b62816b7b8
134a082b002a900
141d6623a9bbc16
15ccc8e106b365
hex6523063200bc

111201102201020 has 144 divisors (see below), whose sum is σ = 253455630035328. Its totient is φ = 40963398577920.

The previous prime is 111201102200957. The next prime is 111201102201053. The reversal of 111201102201020 is 20102201102111.

It is a junction number, because it is equal to n+sod(n) for n = 111201102200986 and 111201102201004.

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 47 ways as a sum of consecutive naturals, for example, 7479719627 + ... + 7479734493.

It is an arithmetic number, because the mean of its divisors is an integer number (1760108541912).

Almost surely, 2111201102201020 is an apocalyptic number.

111201102201020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111201102201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126727815017664).

111201102201020 is an abundant number, since it is smaller than the sum of its proper divisors (142254527834308).

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

111201102201020 is a wasteful number, since it uses less digits than its factorization.

111201102201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19900 (or 19885 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 111201102201020 its reverse (20102201102111), we get a palindrome (131303303303131).

The spelling of 111201102201020 in words is "one hundred eleven trillion, two hundred one billion, one hundred two million, two hundred one thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 491 676 845 982 1690 1964 2455 3380 4507 4910 6383 9014 9820 12766 14867 18028 22535 25532 29734 31915 45070 58591 59468 63830 74335 82979 90140 117182 127660 148670 165958 193271 234364 292955 297340 331916 386542 414895 585910 761683 773084 829790 966355 1171820 1523366 1659580 1932710 2212937 2512523 3046732 3808415 3865420 4425874 5025046 7299697 7616830 8851748 10050092 11064685 12562615 14599394 15233660 22129370 25125230 28768181 29198788 36498485 44258740 50250460 57536362 67005569 72996970 94896061 115072724 134011138 143840905 145993940 189792122 268022276 287681810 335027845 373986353 379584244 474480305 575363620 670055690 747972706 871072397 948960610 1233648793 1340111380 1495945412 1742144794 1869931765 1897921220 2467297586 3484289588 3739863530 4355361985 4934595172 6168243965 7479727060 8710723970 11323941161 12336487930 17421447940 22647882322 24672975860 32899734379 45295764644 56619705805 65799468758 113239411610 131598937516 164498671895 226478823220 328997343790 427696546927 657994687580 855393093854 1710786187708 2138482734635 4276965469270 5560055110051 8553930938540 11120110220102 22240220440204 27800275550255 55600551100510 111201102201020