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212202021211000 = 235310114914100739
BaseRepresentation
bin110000001111111100100010…
…000110000100101101111000
31000211100022111201021000002221
4300033330202012010231320
5210303204214412223000
62031152132431133424
762461042622310502
oct6017744206045570
91024308451230087
10212202021211000
116168340a973067
121b97220b674274
139153745960672
143a588bdd00d72
15197ecdcad661a
hexc0ff22184b78

212202021211000 has 128 divisors (see below), whose sum is σ = 504834693480000. Its totient is φ = 83476368960000.

The previous prime is 212202021210967. The next prime is 212202021211009. The reversal of 212202021211000 is 112120202212.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212202021211009) 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, 7998631 + ... + 22099369.

Almost surely, 2212202021211000 is an apocalyptic number.

212202021211000 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 212202021211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252417346740000).

212202021211000 is an abundant number, since it is smaller than the sum of its proper divisors (292632672269000).

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

212202021211000 is a wasteful number, since it uses less digits than its factorization.

212202021211000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14101010 (or 14100996 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 212202021211000 its reverse (112120202212), we get a palindrome (212314141413212).

The spelling of 212202021211000 in words is "two hundred twelve trillion, two hundred two billion, twenty-one million, two hundred eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 125 149 200 202 250 298 404 500 505 596 745 808 1000 1010 1192 1490 2020 2525 2980 3725 4040 5050 5960 7450 10100 12625 14900 15049 18625 20200 25250 29800 30098 37250 50500 60196 74500 75245 101000 120392 149000 150490 300980 376225 601960 752450 1504900 1881125 3009800 3762250 7524500 14100739 15049000 28201478 56402956 70503695 112805912 141007390 282014780 352518475 564029560 705036950 1410073900 1424174639 1762592375 2101010111 2820147800 2848349278 3525184750 4202020222 5696698556 7050369500 7120873195 8404040444 10505050555 11393397112 14100739000 14241746390 16808080888 21010101110 28483492780 35604365975 42020202220 52525252775 56966985560 71208731950 84040404440 105050505550 142417463900 178021829875 210101011100 212202021211 262626263875 284834927800 356043659750 420202022200 424404042422 525252527750 712087319500 848808084844 1050505055500 1061010106055 1424174639000 1697616169688 2101010111000 2122020212110 4244040424220 5305050530275 8488080848440 10610101060550 21220202121100 26525252651375 42440404242200 53050505302750 106101010605500 212202021211000