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100200331110 = 23511267411991
BaseRepresentation
bin101110101010001100…
…1111011011101100110
3100120122010121012212110
41131110121323131212
53120202241043420
6114010440501450
710145025522135
oct1352431733546
9316563535773
10100200331110
1139549524900
1217504a7a886
1395ab181669
144bc78cb91c
152916b0bee0
hex175467b766

100200331110 has 96 divisors (see below), whose sum is σ = 268276006656. Its totient is φ = 23928379200.

The previous prime is 100200331093. The next prime is 100200331111. The reversal of 100200331110 is 11133002001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100200331111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37215 + ... + 449205.

It is an arithmetic number, because the mean of its divisors is an integer number (2794541736).

Almost surely, 2100200331110 is an apocalyptic number.

100200331110 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 100200331110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134138003328).

100200331110 is an abundant number, since it is smaller than the sum of its proper divisors (168075675546).

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

100200331110 is a wasteful number, since it uses less digits than its factorization.

100200331110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412090 (or 412079 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 100200331110 its reverse (11133002001), we get a palindrome (111333333111).

The spelling of 100200331110 in words is "one hundred billion, two hundred million, three hundred thirty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 67 110 121 134 165 201 242 330 335 363 402 605 670 726 737 1005 1210 1474 1815 2010 2211 3630 3685 4422 7370 8107 11055 16214 22110 24321 40535 48642 81070 121605 243210 411991 823982 1235973 2059955 2471946 4119910 4531901 6179865 9063802 12359730 13595703 22659505 27191406 27603397 45319010 49850911 55206794 67978515 82810191 99701822 135957030 138016985 149552733 165620382 249254555 276033970 299105466 303637367 414050955 498509110 607274734 747763665 828101910 910912101 1495527330 1518186835 1821824202 3036373670 3340011037 4554560505 6680022074 9109121010 10020033111 16700055185 20040066222 33400110370 50100165555 100200331110