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210123331313000 = 23537152319709533
BaseRepresentation
bin101111110001101100100110…
…100001011001110101101000
31000112222121001020111011020012
4233301230212201121311220
5210020130040304004000
62022521154212351052
762154624013564250
oct5761544641316550
91015877036434205
10210123331313000
1160a51893693226
121b697386615488
139032711828591
1439c60486a6960
151945bcb673735
hexbf1b26859d68

210123331313000 has 128 divisors (see below), whose sum is σ = 562298814155520. Its totient is φ = 71994978489600.

The previous prime is 210123331312991. The next prime is 210123331313011. The reversal of 210123331313000 is 313133321012.

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, 806234 + ... + 20515766.

It is an arithmetic number, because the mean of its divisors is an integer number (4392959485590).

Almost surely, 2210123331313000 is an apocalyptic number.

210123331313000 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 210123331313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281149407077760).

210123331313000 is an abundant number, since it is smaller than the sum of its proper divisors (352175482842520).

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

210123331313000 is a wasteful number, since it uses less digits than its factorization.

210123331313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19711084 (or 19711070 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 210123331313000 its reverse (313133321012), we get a palindrome (210436464634012).

The spelling of 210123331313000 in words is "two hundred ten trillion, one hundred twenty-three billion, three hundred thirty-one million, three hundred thirteen thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1523 1750 3046 3500 6092 7000 7615 10661 12184 15230 21322 30460 38075 42644 53305 60920 76150 85288 106610 152300 190375 213220 266525 304600 380750 426440 533050 761500 1066100 1332625 1523000 2132200 2665250 5330500 10661000 19709533 39419066 78838132 98547665 137966731 157676264 197095330 275933462 394190660 492738325 551866924 689833655 788381320 985476650 1103733848 1379667310 1970953300 2463691625 2759334620 3449168275 3941906600 4927383250 5518669240 6898336550 9854766500 13796673100 17245841375 19709533000 27593346200 30017618759 34491682750 60035237518 68983365500 120070475036 137966731000 150088093795 210123331313 240140950072 300176187590 420246662626 600352375180 750440468975 840493325252 1050616656565 1200704750360 1500880937950 1680986650504 2101233313130 3001761875900 3752202344875 4202466626260 5253083282825 6003523751800 7504404689750 8404933252520 10506166565650 15008809379500 21012333131300 26265416414125 30017618759000 42024666262600 52530832828250 105061665656500 210123331313000