Search a number
-
+
3131004450 = 235272425987
BaseRepresentation
bin1011101010011111…
…0101011000100010
322002012112111122210
42322213311120202
522403014120300
61234404142550
7140406045600
oct27247653042
98065474583
103131004450
111367408a92
12734697a56
133ab892272
14219b88870
15134d20050
hexba9f5622

3131004450 has 72 divisors (see below), whose sum is σ = 9032649552. Its totient is φ = 715656480.

The previous prime is 3131004449. The next prime is 3131004469. The reversal of 3131004450 is 544001313.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 35 ways as a sum of consecutive naturals, for example, 205644 + ... + 220343.

It is an arithmetic number, because the mean of its divisors is an integer number (125453466).

Almost surely, 23131004450 is an apocalyptic number.

3131004450 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3131004450 is an abundant number, since it is smaller than the sum of its proper divisors (5901645102).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3131004450 is a wasteful number, since it uses less digits than its factorization.

3131004450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426016 (or 426004 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 3131004450 is about 55955.3790979920. The cubic root of 3131004450 is about 1462.9446496615.

Adding to 3131004450 its reverse (544001313), we get a palindrome (3675005763).

The spelling of 3131004450 in words is "three billion, one hundred thirty-one million, four thousand, four hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 49 50 70 75 98 105 147 150 175 210 245 294 350 490 525 735 1050 1225 1470 2450 3675 7350 425987 851974 1277961 2129935 2555922 2981909 4259870 5963818 6389805 8945727 10649675 12779610 14909545 17891454 20873363 21299350 29819090 31949025 41746726 44728635 62620089 63898050 74547725 89457270 104366815 125240178 149095450 208733630 223643175 313100445 447286350 521834075 626200890 1043668150 1565502225 3131004450