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2121023211000 = 233531069661373
BaseRepresentation
bin11110110111010110110…
…101011100010111111000
321111202201202100222002020
4132313112311130113320
5234222323420223000
64302215024234440
7306144634552641
oct36672665342770
97452652328066
102121023211000
11748580342531
122a309a46ba20
1312501c724725
147492da666c8
153a28cbebba0
hex1edd6d5c5f8

2121023211000 has 128 divisors (see below), whose sum is σ = 6623792884800. Its totient is φ = 565076236800.

The previous prime is 2121023210989. The next prime is 2121023211007. The reversal of 2121023211000 is 1123201212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121023211007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2876314 + ... + 3537686.

Almost surely, 22121023211000 is an apocalyptic number.

2121023211000 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 2121023211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3311896442400).

2121023211000 is an abundant number, since it is smaller than the sum of its proper divisors (4502769673800).

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

2121023211000 is a wasteful number, since it uses less digits than its factorization.

2121023211000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662466 (or 662452 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 2121023211000 its reverse (1123201212), we get a palindrome (2122146412212).

The spelling of 2121023211000 in words is "two trillion, one hundred twenty-one billion, twenty-three million, two hundred eleven thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1069 1500 2138 3000 3207 4276 5345 6414 8552 10690 12828 16035 21380 25656 26725 32070 42760 53450 64140 80175 106900 128280 133625 160350 213800 267250 320700 400875 534500 641400 661373 801750 1069000 1322746 1603500 1984119 2645492 3207000 3306865 3968238 5290984 6613730 7936476 9920595 13227460 15872952 16534325 19841190 26454920 33068650 39682380 49602975 66137300 79364760 82671625 99205950 132274600 165343250 198411900 248014875 330686500 396823800 496029750 661373000 707007737 992059500 1414015474 1984119000 2121023211 2828030948 3535038685 4242046422 5656061896 7070077370 8484092844 10605116055 14140154740 16968185688 17675193425 21210232110 28280309480 35350386850 42420464220 53025580275 70700773700 84840928440 88375967125 106051160550 141401547400 176751934250 212102321100 265127901375 353503868500 424204642200 530255802750 707007737000 1060511605500 2121023211000