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31212201321001 = 181290095944469
BaseRepresentation
bin1110001100011001010000…
…01011000010001000101001
311002111212010222100012022101
413012030220023002020221
513042340042014233001
6150214404244253401
76401002305534541
oct706145013021051
9132455128305271
1031212201321001
119a44024a44208
1236011730a1261
1314553b47b910c
1479c97013a321
15391d7ac50a01
hex1c63282c2229

31212201321001 has 8 divisors (see below), whose sum is σ = 31385731595400. Its totient is φ = 31038682993920.

The previous prime is 31212201320969. The next prime is 31212201321053. The reversal of 31212201321001 is 10012310221213.

It can be written as a sum of positive squares in 4 ways, for example, as 1510627813776 + 29701573507225 = 1229076^2 + 5449915^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 31212201321001 - 25 = 31212201320969 is a prime.

It is a super-2 number, since 2×312122013210012 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 31212201321001.

It is not an unprimeable number, because it can be changed into a prime (31212201328001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2278395 + ... + 8222863.

It is an arithmetic number, because the mean of its divisors is an integer number (3923216449425).

Almost surely, 231212201321001 is an apocalyptic number.

It is an amenable number.

31212201321001 is a deficient number, since it is larger than the sum of its proper divisors (173530274399).

31212201321001 is a wasteful number, since it uses less digits than its factorization.

31212201321001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5973659.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 31212201321001 its reverse (10012310221213), we get a palindrome (41224511542214).

The spelling of 31212201321001 in words is "thirty-one trillion, two hundred twelve billion, two hundred one million, three hundred twenty-one thousand, one".

Divisors: 1 181 29009 5250629 5944469 1075948889 172443101221 31212201321001