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241300320051100 = 225283162717868671
BaseRepresentation
bin110110110111011000011011…
…110111000101111110011100
31011122101002022012010210200111
4312313120123313011332130
5223111431023413113400
62213111500421135404
7101553241606423432
oct6667303367057634
91148332265123614
10241300320051100
116a981988a89752
1223091750b5a564
13a4846a404c30b
144382dd7d9ad52
151cd6b95d513ba
hexdb761bdc5f9c

241300320051100 has 72 divisors (see below), whose sum is σ = 530256129435648. Its totient is φ = 95298620337600.

The previous prime is 241300320051079. The next prime is 241300320051187. The reversal of 241300320051100 is 1150023003142.

It is a happy number.

It is a super-2 number, since 2×2413003200511002 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4569765 + ... + 22438435.

It is an arithmetic number, because the mean of its divisors is an integer number (7364668464384).

Almost surely, 2241300320051100 is an apocalyptic number.

241300320051100 is a gapful number since it is divisible by the number (20) 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 241300320051100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265128064717824).

241300320051100 is an abundant number, since it is smaller than the sum of its proper divisors (288955809384548).

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

241300320051100 is a wasteful number, since it uses less digits than its factorization.

241300320051100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17870395 (or 17870388 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 241300320051100 its reverse (1150023003142), we get a palindrome (242450343054242).

The spelling of 241300320051100 in words is "two hundred forty-one trillion, three hundred billion, three hundred twenty million, fifty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 83 100 166 332 415 830 1627 1660 2075 3254 4150 6508 8135 8300 16270 32540 40675 81350 135041 162700 270082 540164 675205 1350410 2700820 3376025 6752050 13504100 17868671 35737342 71474684 89343355 178686710 357373420 446716775 893433550 1483099693 1786867100 2966199386 5932398772 7415498465 14830996930 29072327717 29661993860 37077492325 58144655434 74154984650 116289310868 145361638585 148309969300 290723277170 581446554340 726808192925 1453616385850 2413003200511 2907232771700 4826006401022 9652012802044 12065016002555 24130032005110 48260064010220 60325080012775 120650160025550 241300320051100