Search a number
-
+
312020331132031 = 3147921012885119
BaseRepresentation
bin100011011110001111110010…
…0111111111111010001111111
31111220202212000100122012122121
41012330133210333333101333
5311344120114232211111
63023340054501023411
7122502503451331024
oct10674374477772177
91456685010565577
10312020331132031
1190468096630785
122abb37696b4b67
1310514510c7a432
145709c1669554b
152611571608871
hex11bc7e4fff47f

312020331132031 has 8 divisors (see below), whose sum is σ = 322757915443200. Its totient is φ = 301324772592120.

The previous prime is 312020331132001. The next prime is 312020331132043. The reversal of 312020331132031 is 130231133020213.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-312020331132031 is a prime.

It is a super-2 number, since 2×3120203311320312 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 312020331131987 and 312020331132005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312020331132001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10506427711 + ... + 10506457408.

It is an arithmetic number, because the mean of its divisors is an integer number (40344739430400).

Almost surely, 2312020331132031 is an apocalyptic number.

312020331132031 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

312020331132031 is a deficient number, since it is larger than the sum of its proper divisors (10737584311169).

312020331132031 is a wasteful number, since it uses less digits than its factorization.

312020331132031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21012885629.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 312020331132031 its reverse (130231133020213), we get a palindrome (442251464152244).

The spelling of 312020331132031 in words is "three hundred twelve trillion, twenty billion, three hundred thirty-one million, one hundred thirty-two thousand, thirty-one".

Divisors: 1 31 479 14849 21012885119 651399438689 10065171972001 312020331132031