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331135012053142 = 211435711015960343
BaseRepresentation
bin100101101001010100110000…
…0110001000010000010010110
31121102110012100100001200210221
41023102221200301002002112
5321400304001041200032
63132133154030504554
7126514500201350443
oct11322514061020226
91542405310050727
10331135012053142
119656762a6a5280
123118022566515a
131129cb891a322b
145bab03d2129ca
1528438acc4a597
hex12d2a60c42096

331135012053142 has 64 divisors (see below), whose sum is σ = 555493534801920. Its totient is φ = 146741196218400.

The previous prime is 331135012053119. The next prime is 331135012053143. The reversal of 331135012053142 is 241350210531133.

It is a junction number, because it is equal to n+sod(n) for n = 331135012053098 and 331135012053107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331135012053143) 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, 5487516223 + ... + 5487576565.

It is an arithmetic number, because the mean of its divisors is an integer number (8679586481280).

Almost surely, 2331135012053142 is an apocalyptic number.

331135012053142 is a deficient number, since it is larger than the sum of its proper divisors (224358522748778).

331135012053142 is a wasteful number, since it uses less digits than its factorization.

331135012053142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71129.

The product of its (nonzero) digits is 32400, while the sum is 34.

Adding to 331135012053142 its reverse (241350210531133), we get a palindrome (572485222584275).

The spelling of 331135012053142 in words is "three hundred thirty-one trillion, one hundred thirty-five billion, twelve million, fifty-three thousand, one hundred forty-two".

Divisors: 1 2 11 22 43 86 473 571 946 1142 6281 10159 12562 20318 24553 49106 60343 111749 120686 223498 270083 436837 540166 663773 873674 1327546 2594749 4805207 5189498 5800789 9610414 11601578 28542239 34455853 57084478 63808679 68911706 127617358 249433927 379014383 498867854 613024537 758028766 1226049074 1481601679 2743773197 2963203358 5487546394 6743269907 13486539814 16297618469 26360055091 32595236938 52720110182 289960606001 350037010627 579921212002 700074021254 3850407116897 7700814233794 15051591456961 30103182913922 165567506026571 331135012053142