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31441141202121 = 3276411674146507
BaseRepresentation
bin1110010011000011101100…
…00011010111110011001001
311010022202002012010011110200
413021201312003113303021
513110112424121431441
6150511505540402413
76423355534446030
oct711416603276311
9133282065104420
1031441141202121
11a0221275a3432
1236396066a6409
131470b6b6740b1
147a9a8b949717
15397cc9be47b6
hex1c98760d7cc9

31441141202121 has 48 divisors (see below), whose sum is σ = 51988030942848. Its totient is φ = 17936880537600.

The previous prime is 31441141202059. The next prime is 31441141202197. The reversal of 31441141202121 is 12120214114413.

31441141202121 is a `hidden beast` number, since 3 + 1 + 4 + 411 + 4 + 120 + 2 + 121 = 666.

It is not a de Polignac number, because 31441141202121 - 27 = 31441141201993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31441141202921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 676028550 + ... + 676075056.

It is an arithmetic number, because the mean of its divisors is an integer number (1083083977976).

Almost surely, 231441141202121 is an apocalyptic number.

It is an amenable number.

31441141202121 is a deficient number, since it is larger than the sum of its proper divisors (20546889740727).

31441141202121 is a wasteful number, since it uses less digits than its factorization.

31441141202121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63902 (or 63899 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 31441141202121 its reverse (12120214114413), we get a palindrome (43561355316534).

The spelling of 31441141202121 in words is "thirty-one trillion, four hundred forty-one billion, one hundred forty-one million, two hundred two thousand, one hundred twenty-one".

Divisors: 1 3 7 9 21 63 641 1923 4487 5769 13461 16741 40383 46507 50223 117187 139521 150669 325549 351561 418563 976647 1054683 2929941 10730981 29810987 32192943 75116867 89432961 96578829 208676909 225350601 268298883 626030727 676051803 778573687 1878092181 2335721061 5450015809 7007163183 16350047427 49050142281 499065733367 1497197200101 3493460133569 4491591600303 10480380400707 31441141202121