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31410011330321 = 13217103310583569
BaseRepresentation
bin1110010010001001101101…
…00100010101011100010001
311010012202201200202211100212
413021010312210111130101
513104110200400032241
6150445320543253505
76421204235061221
oct711046644253421
9133182650684325
1031410011330321
11a00aa025a1a58
1236335792aa295
13146ac4a19c800
147a8377428081
153970a6cd3beb
hex1c9136915711

31410011330321 has 24 divisors (see below), whose sum is σ = 36047597085720. Its totient is φ = 27261916471296.

The previous prime is 31410011330293. The next prime is 31410011330339. The reversal of 31410011330321 is 12303311001413.

It can be written as a sum of positive squares in 12 ways, for example, as 5396329000000 + 26013682330321 = 2323000^2 + 5100361^2 .

It is not a de Polignac number, because 31410011330321 - 222 = 31410007136017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31410011330371) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2323976 + ... + 8259593.

It is an arithmetic number, because the mean of its divisors is an integer number (1501983211905).

Almost surely, 231410011330321 is an apocalyptic number.

It is an amenable number.

31410011330321 is a deficient number, since it is larger than the sum of its proper divisors (4637585755399).

31410011330321 is a wasteful number, since it uses less digits than its factorization.

31410011330321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10584645 (or 10584632 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 31410011330321 its reverse (12303311001413), we get a palindrome (43713322331734).

The spelling of 31410011330321 in words is "thirty-one trillion, four hundred ten billion, eleven million, three hundred thirty thousand, three hundred twenty-one".

Divisors: 1 13 17 169 221 1033 2873 13429 17561 174577 228293 2967809 10583569 137586397 179920673 1788623161 2338968749 10932826777 30406593737 142126748101 185858055209 1847647725313 2416154717717 31410011330321