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31013101120221 = 3311431613395231
BaseRepresentation
bin1110000110100110011001…
…11000000010101011011101
311001210211020100012001022000
413003103030320002223131
513031104312341321341
6145543115540112513
76350423362002063
oct703231470025335
9131724210161260
1031013101120221
119977645088530
12358a668995739
13143c6a4a2311c
14793083762033
1538bac67b88b6
hex1c34cce02add

31013101120221 has 64 divisors (see below), whose sum is σ = 50320558817280. Its totient is φ = 18721570824000.

The previous prime is 31013101120219. The next prime is 31013101120229. The reversal of 31013101120221 is 12202110131013.

31013101120221 is a `hidden beast` number, since 3 + 10 + 1 + 310 + 1 + 120 + 221 = 666.

It is not a de Polignac number, because 31013101120221 - 21 = 31013101120219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 31013101120194 and 31013101120203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31013101120229) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 78270676 + ... + 78665906.

It is an arithmetic number, because the mean of its divisors is an integer number (786258731520).

Almost surely, 231013101120221 is an apocalyptic number.

It is an amenable number.

31013101120221 is a deficient number, since it is larger than the sum of its proper divisors (19307457697059).

31013101120221 is a wasteful number, since it uses less digits than its factorization.

31013101120221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396295 (or 396289 counting only the distinct ones).

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

Adding to 31013101120221 its reverse (12202110131013), we get a palindrome (43215211251234).

The spelling of 31013101120221 in words is "thirty-one trillion, thirteen billion, one hundred one million, one hundred twenty thousand, two hundred twenty-one".

Divisors: 1 3 9 11 27 33 99 297 431 613 1293 1839 3879 4741 5517 6743 11637 14223 16551 20229 42669 60687 128007 182061 264203 395231 792609 1185693 2377827 2906233 3557079 4347541 7133481 8718699 10671237 13042623 26156097 39127869 78468291 117383607 170344561 242276603 511033683 726829809 1533101049 1873790171 2180489427 2665042633 4599303147 5621370513 6541468281 7995127899 16864111539 23985383697 50592334617 71956151091 104421215893 313263647679 939790943037 1148633374823 2819372829111 3445900124469 10337700373407 31013101120221