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211055414151000 = 23353523134515879
BaseRepresentation
bin101111111111010000101010…
…111111010000011101011000
31000200021200220200210021102210
4233333100222333100131120
5210130412442010313000
62024513304014355120
762312151625151526
oct5777205277203530
91020250820707383
10211055414151000
116128110a0a3071
121b807b531bbaa0
13909c595038ba3
143a191ca997316
1519600805a1350
hexbff42afd0758

211055414151000 has 128 divisors (see below), whose sum is σ = 659751965683200. Its totient is φ = 56173830652800.

The previous prime is 211055414150989. The next prime is 211055414151017. The reversal of 211055414151000 is 151414550112.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 65688940 + ... + 68826939.

It is an arithmetic number, because the mean of its divisors is an integer number (5154312231900).

Almost surely, 2211055414151000 is an apocalyptic number.

211055414151000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211055414151000 is an abundant number, since it is smaller than the sum of its proper divisors (448696551532200).

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

211055414151000 is a wasteful number, since it uses less digits than its factorization.

211055414151000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134516426 (or 134516412 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 30.

The spelling of 211055414151000 in words is "two hundred eleven trillion, fifty-five billion, four hundred fourteen million, one hundred fifty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 523 600 750 1000 1046 1500 1569 2092 2615 3000 3138 4184 5230 6276 7845 10460 12552 13075 15690 20920 26150 31380 39225 52300 62760 65375 78450 104600 130750 156900 196125 261500 313800 392250 523000 784500 1569000 134515879 269031758 403547637 538063516 672579395 807095274 1076127032 1345158790 1614190548 2017738185 2690317580 3228381096 3362896975 4035476370 5380635160 6725793950 8070952740 10088690925 13451587900 16141905480 16814484875 20177381850 26903175800 33628969750 40354763700 50443454625 67257939500 70351804717 80709527400 100886909250 134515879000 140703609434 201773818500 211055414151 281407218868 351759023585 403547637000 422110828302 562814437736 703518047170 844221656604 1055277070755 1407036094340 1688443313208 1758795117925 2110554141510 2814072188680 3517590235850 4221108283020 5276385353775 7035180471700 8442216566040 8793975589625 10552770707550 14070360943400 17587951179250 21105541415100 26381926768875 35175902358500 42211082830200 52763853537750 70351804717000 105527707075500 211055414151000