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211023103241000 = 23538319791284713
BaseRepresentation
bin101111111110110010100101…
…000110111010101100101000
31000200011121111220002222111102
4233332302211012322230220
5210124400303412203000
62024450401511420532
762306626135021661
oct5776624506725450
91020147456088442
10211023103241000
1161269439467166
121b801836384748
139099515c7bb2b
143a17803680368
15195e2ddb4d3d5
hexbfeca51bab28

211023103241000 has 128 divisors (see below), whose sum is σ = 499996300003200. Its totient is φ = 83350059020800.

The previous prime is 211023103240981. The next prime is 211023103241011. The reversal of 211023103241000 is 142301320112.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 163614644 + ... + 164899356.

It is an arithmetic number, because the mean of its divisors is an integer number (3906221093775).

Almost surely, 2211023103241000 is an apocalyptic number.

211023103241000 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 211023103241000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249998150001600).

211023103241000 is an abundant number, since it is smaller than the sum of its proper divisors (288973196762200).

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

211023103241000 is a wasteful number, since it uses less digits than its factorization.

211023103241000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286796 (or 1286782 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 211023103241000 its reverse (142301320112), we get a palindrome (211165404561112).

The spelling of 211023103241000 in words is "two hundred eleven trillion, twenty-three billion, one hundred three million, two hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 83 100 125 166 200 250 332 415 500 664 830 1000 1660 1979 2075 3320 3958 4150 7916 8300 9895 10375 15832 16600 19790 20750 39580 41500 49475 79160 83000 98950 164257 197900 247375 328514 395800 494750 657028 821285 989500 1284713 1314056 1642570 1979000 2569426 3285140 4106425 5138852 6423565 6570280 8212850 10277704 12847130 16425700 20532125 25694260 32117825 32851400 41064250 51388520 64235650 82128500 106631179 128471300 160589125 164257000 213262358 256942600 321178250 426524716 533155895 642356500 853049432 1066311790 1284713000 2132623580 2542447027 2665779475 4265247160 5084894054 5331558950 10169788108 10663117900 12712235135 13328897375 20339576216 21326235800 25424470270 26657794750 50848940540 53315589500 63561175675 101697881080 106631179000 127122351350 211023103241 254244702700 317805878375 422046206482 508489405400 635611756750 844092412964 1055115516205 1271223513500 1688184825928 2110231032410 2542447027000 4220462064820 5275577581025 8440924129640 10551155162050 21102310324100 26377887905125 42204620648200 52755775810250 105511551620500 211023103241000