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3112001025 = 352724991697
BaseRepresentation
bin1011100101111101…
…0101111000000001
322000212210000212020
42321133111320001
522333133013100
61232444552053
7140055400200
oct27137257001
98025700766
103112001025
111357709481
1272a252629
133a796a633
1421743d237
151333195a0
hexb97d5e01

3112001025 has 72 divisors (see below), whose sum is σ = 6000732000. Its totient is φ = 1418941440.

The previous prime is 3112001003. The next prime is 3112001033. The reversal of 3112001025 is 5201002113.

It is not a de Polignac number, because 3112001025 - 27 = 3112000897 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a junction number, because it is equal to n+sod(n) for n = 3112000995 and 3112001013.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 1832977 + ... + 1834673.

It is an arithmetic number, because the mean of its divisors is an integer number (83343500).

Almost surely, 23112001025 is an apocalyptic number.

3112001025 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3112001025 is a deficient number, since it is larger than the sum of its proper divisors (2888730975).

3112001025 is a wasteful number, since it uses less digits than its factorization.

3112001025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2223 (or 2211 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 3112001025 is about 55785.3119109323. The cubic root of 3112001025 is about 1459.9788927017.

Adding to 3112001025 its reverse (5201002113), we get a palindrome (8313003138).

The spelling of 3112001025 in words is "three billion, one hundred twelve million, one thousand, twenty-five".

Divisors: 1 3 5 7 15 21 25 35 49 75 105 147 175 245 499 525 735 1225 1497 1697 2495 3493 3675 5091 7485 8485 10479 11879 12475 17465 24451 25455 35637 37425 42425 52395 59395 73353 83153 87325 122255 127275 178185 249459 261975 296975 366765 415765 611275 846803 890925 1247295 1833825 2078825 2540409 4234015 5927621 6236475 12702045 17782863 21170075 29638105 41493347 63510225 88914315 124480041 148190525 207466735 444571575 622400205 1037333675 3112001025