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331132210203100 = 2252311073097132233
BaseRepresentation
bin100101101001010011011100…
…1110000110100100111011100
31121102102221010001212222010011
41023102212321300310213130
5321400232231302444400
63132132012021253004
7126514340600125435
oct11322467160644734
91542387101788104
10331132210203100
1196566422073929
123117b783264164
131129c830878bb7
145baac5506a48c
152843796c978ba
hex12d29b9c349dc

331132210203100 has 144 divisors (see below), whose sum is σ = 748715665130496. Its totient is φ = 126974225088000.

The previous prime is 331132210203079. The next prime is 331132210203209. The reversal of 331132210203100 is 1302012231133.

It is a super-2 number, since 2×3311322102031002 (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 47 ways as a sum of consecutive naturals, for example, 10273064584 + ... + 10273096816.

It is an arithmetic number, because the mean of its divisors is an integer number (5199414341184).

Almost surely, 2331132210203100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331132210203100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374357832565248).

331132210203100 is an abundant number, since it is smaller than the sum of its proper divisors (417583454927396).

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

331132210203100 is a wasteful number, since it uses less digits than its factorization.

331132210203100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63356 (or 63349 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 331132210203100 its reverse (1302012231133), we get a palindrome (332434222434233).

The spelling of 331132210203100 in words is "three hundred thirty-one trillion, one hundred thirty-two billion, two hundred ten million, two hundred three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 107 124 155 214 310 428 535 620 775 1070 1550 2140 2675 3100 3317 5350 6634 10700 13268 16585 30971 32233 33170 61942 64466 66340 82925 123884 128932 154855 161165 165850 309710 322330 331700 619420 644660 774275 805825 960101 999223 1548550 1611650 1920202 1998446 3097100 3223300 3313897 3448931 3840404 3996892 4800505 4996115 6627794 6897862 9601010 9992230 13255588 13795724 16569485 17244655 19202020 19984460 24002525 24980575 33138970 34489310 48005050 49961150 66277940 68978620 82847425 86223275 96010100 99922300 102730807 106916861 165694850 172446550 205461614 213833722 331389700 344893100 410923228 427667444 513654035 534584305 998288243 1027308070 1069168610 1996576486 2054616140 2138337220 2568270175 2672921525 3993152972 4991441215 5136540350 5345843050 9982882430 10273080700 10691686100 19965764860 24957206075 30946935533 49914412150 61893871066 99828824300 106816842001 123787742132 154734677665 213633684002 309469355330 427267368004 534084210005 618938710660 773673388325 1068168420010 1547346776650 2136336840020 2670421050025 3094693553300 3311322102031 5340842100050 6622644204062 10681684200100 13245288408124 16556610510155 33113221020310 66226442040620 82783052550775 165566105101550 331132210203100