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1110201110010 = 233524134749169
BaseRepresentation
bin10000001001111101001…
…001001000110111111010
310221010121211020211221000
4100021331021020313322
5121142142441010020
62210004102425430
7143131550506026
oct20117511106772
93833554224830
101110201110010
11398919646a23
1215b1b8132276
13808cb34b045
143ba3c21b386
151dd2b337090
hex1027d248dfa

1110201110010 has 128 divisors (see below), whose sum is σ = 2981448518400. Its totient is φ = 293969571840.

The previous prime is 1110201109967. The next prime is 1110201110047. The reversal of 1110201110010 is 100111020111.

It is a super-2 number, since 2×11102011100102 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1110201109974 and 1110201110001.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22554706 + ... + 22603874.

It is an arithmetic number, because the mean of its divisors is an integer number (23292566550).

Almost surely, 21110201110010 is an apocalyptic number.

1110201110010 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 1110201110010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1490724259200).

1110201110010 is an abundant number, since it is smaller than the sum of its proper divisors (1871247408390).

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

1110201110010 is a wasteful number, since it uses less digits than its factorization.

1110201110010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49773 (or 49767 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 1110201110010 its reverse (100111020111), we get a palindrome (1210312130121).

The spelling of 1110201110010 in words is "one trillion, one hundred ten billion, two hundred one million, one hundred ten thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 241 270 347 482 694 723 1041 1205 1446 1735 2082 2169 2410 3123 3470 3615 4338 5205 6246 6507 7230 9369 10410 10845 13014 15615 18738 21690 31230 32535 46845 49169 65070 83627 93690 98338 147507 167254 245845 250881 295014 418135 442521 491690 501762 737535 752643 836270 885042 1254405 1327563 1475070 1505286 2212605 2257929 2508810 2655126 3763215 4425210 4515858 6637815 7526430 11289645 11849729 13275630 17061643 22579290 23699458 34123286 35549187 51184929 59248645 71098374 85308215 102369858 106647561 118497290 153554787 170616430 177745935 213295122 255924645 307109574 319942683 355491870 460664361 511849290 533237805 639885366 767773935 921328722 1066475610 1535547870 1599713415 2303321805 3199426830 4111855963 4606643610 8223711926 12335567889 20559279815 24671135778 37006703667 41118559630 61677839445 74013407334 111020111001 123355678890 185033518335 222040222002 370067036670 555100555005 1110201110010