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312120011001 = 33743172137997
BaseRepresentation
bin1001000101010111100…
…11010110100011111001
31002211122011212101020110
410202223303112203321
520103210210323001
6355215211014533
731356424214361
oct4425363264371
91084564771213
10312120011001
11110407677a17
12505a843a449
1323581ac2356
141116ca7d9a1
1581bb7383d6
hex48abcd68f9

312120011001 has 32 divisors (see below), whose sum is σ = 437612934528. Its totient is φ = 197627834880.

The previous prime is 312120010991. The next prime is 312120011083. The reversal of 312120011001 is 100110021213.

It is not a de Polignac number, because 312120011001 - 222 = 312115816697 is a prime.

It is a super-2 number, since 2×3121200110012 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (312120011501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8195335 + ... + 8233331.

It is an arithmetic number, because the mean of its divisors is an integer number (13675404204).

Almost surely, 2312120011001 is an apocalyptic number.

It is an amenable number.

312120011001 is a deficient number, since it is larger than the sum of its proper divisors (125492923527).

312120011001 is a wasteful number, since it uses less digits than its factorization.

312120011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39801.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 312120011001 its reverse (100110021213), we get a palindrome (412230032214).

The spelling of 312120011001 in words is "three hundred twelve billion, one hundred twenty million, eleven thousand, one".

Divisors: 1 3 37 43 111 129 1591 1721 4773 5163 37997 63677 74003 113991 191031 222009 1405889 1633871 2738111 4217667 4901613 8214333 60453227 65392837 181359681 196178511 2419534969 2811891991 7258604907 8435675973 104040003667 312120011001