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32032212102121 = 72111710133450959
BaseRepresentation
bin1110100100010000101001…
…00111111010101111101001
311012102020201221021221110111
413102020110213322233221
513144303432244231441
6152043221201214321
76514152035265400
oct722102447725751
9135366657257414
1032032212102121
11a22a86a720a40
1237140830313a1
1314b481744667a
147ca51dd92637
153a8370bdd081
hex1d22149fabe9

32032212102121 has 48 divisors (see below), whose sum is σ = 43083054593280. Its totient is φ = 23468723013120.

The previous prime is 32032212102097. The next prime is 32032212102133. The reversal of 32032212102121 is 12120121223023.

It is not a de Polignac number, because 32032212102121 - 229 = 32031675231209 is a prime.

It is a super-2 number, since 2×320322121021212 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 32032212102092 and 32032212102101.

It is not an unprimeable number, because it can be changed into a prime (32032212102521) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7556640 + ... + 11007598.

It is an arithmetic number, because the mean of its divisors is an integer number (897563637360).

Almost surely, 232032212102121 is an apocalyptic number.

It is an amenable number.

32032212102121 is a deficient number, since it is larger than the sum of its proper divisors (11050842491159).

32032212102121 is a wasteful number, since it uses less digits than its factorization.

32032212102121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3452014 (or 3452007 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 32032212102121 its reverse (12120121223023), we get a palindrome (44152333325144).

The spelling of 32032212102121 in words is "thirty-two trillion, thirty-two billion, two hundred twelve million, one hundred two thousand, one hundred twenty-one".

Divisors: 1 7 11 17 49 77 119 187 539 833 1013 1309 7091 9163 11143 17221 49637 78001 120547 189431 546007 843829 1326017 3450959 9282119 24156713 37960549 58666303 169096991 265723843 410664121 645329333 1860066901 2874648847 3495821467 4517305331 24470750269 31621137317 38454036137 59428964939 171295251883 269178252959 416002754573 653718614329 1884247770713 2912019282011 4576030300303 32032212102121