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3202213002012 = 22372377153997
BaseRepresentation
bin101110100110010010110…
…001001011101100011100
3102100010110201201010000000
4232212102301023230130
5404431113012031022
610451024253534300
7450231552262023
oct56462261135434
912303421633000
103202213002012
111025061838062
1243873a7a4390
131a2c7648380b
14b0db8c7b8ba
155846c1026ac
hex2e992c4bb1c

3202213002012 has 96 divisors (see below), whose sum is σ = 8408118322240. Its totient is φ = 1066948350336.

The previous prime is 3202213001899. The next prime is 3202213002013. The reversal of 3202213002012 is 2102003122023.

3202213002012 is a `hidden beast` number, since 320 + 2 + 21 + 300 + 20 + 1 + 2 = 666.

3202213002012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×32022130020122 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3202213002013) 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, 20716998 + ... + 20870994.

Almost surely, 23202213002012 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 3202213002012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4204059161120).

3202213002012 is an abundant number, since it is smaller than the sum of its proper divisors (5205905320228).

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

3202213002012 is a wasteful number, since it uses less digits than its factorization.

3202213002012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156399 (or 156379 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 3202213002012 its reverse (2102003122023), we get a palindrome (5304216124035).

It can be divided in two parts, 320221 and 3002012, that added together give a palindrome (3322233).

The spelling of 3202213002012 in words is "three trillion, two hundred two billion, two hundred thirteen million, two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2187 2377 2916 4374 4754 7131 8748 9508 14262 21393 28524 42786 64179 85572 128358 153997 192537 256716 307994 385074 461991 577611 615988 770148 923982 1155222 1385973 1732833 1847964 2310444 2771946 3465666 4157919 5198499 5543892 6931332 8315838 10396998 12473757 16631676 20793996 24947514 37421271 49895028 74842542 112263813 149685084 224527626 336791439 366050869 449055252 673582878 732101738 1098152607 1347165756 1464203476 2196305214 3294457821 4392610428 6588915642 9883373463 13177831284 19766746926 29650120389 39533493852 59300240778 88950361167 118600481556 177900722334 266851083501 355801444668 533702167002 800553250503 1067404334004 1601106501006 3202213002012