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31021001311221 = 3217617907362303
BaseRepresentation
bin1110000110110101000111…
…10000111000001111110101
311001211120121220210022222200
413003122203300320033311
513031222002313424341
6145550503512415113
76351123221343645
oct703324360701765
9131746556708880
1031021001311221
11997aa295849a9
1235900b26a7499
13144036368b65c
147935d2a88525
1538bdda14adb6
hex1c36a3c383f5

31021001311221 has 48 divisors (see below), whose sum is σ = 47573303491584. Its totient is φ = 19411132511232.

The previous prime is 31021001311217. The next prime is 31021001311273. The reversal of 31021001311221 is 12211310012013.

31021001311221 is a `hidden beast` number, since 31 + 0 + 2 + 100 + 1 + 311 + 221 = 666.

It is not a de Polignac number, because 31021001311221 - 22 = 31021001311217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 31021001311194 and 31021001311203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31021001311211) 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, 85440556 + ... + 85802858.

It is an arithmetic number, because the mean of its divisors is an integer number (991110489408).

Almost surely, 231021001311221 is an apocalyptic number.

It is an amenable number.

31021001311221 is a deficient number, since it is larger than the sum of its proper divisors (16552302180363).

31021001311221 is a wasteful number, since it uses less digits than its factorization.

31021001311221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363850 (or 363847 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 31021001311221 its reverse (12211310012013), we get a palindrome (43232311323234).

The spelling of 31021001311221 in words is "thirty-one trillion, twenty-one billion, one million, three hundred eleven thousand, two hundred twenty-one".

Divisors: 1 3 9 17 51 153 617 907 1851 2721 5553 8163 10489 15419 31467 46257 94401 138771 362303 559619 1086909 1678857 3260727 5036571 6159151 9513523 18477453 28540569 55432359 85621707 223540951 328608821 670622853 985826463 2011868559 2957479389 3800196167 5586349957 11400588501 16759049871 34201765503 50277149613 202751642557 608254927671 1824764783013 3446777923469 10340333770407 31021001311221