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3130331232 = 25379748023
BaseRepresentation
bin1011101010010101…
…0001000001100000
322002011021022011210
42322211101001200
522402331044412
61234341510120
7140400243060
oct27245210140
98064238153
103130331232
111366a99206
12734412340
133ab6b7a02
14219a513a0
15134c3a83c
hexba951060

3130331232 has 96 divisors (see below), whose sum is σ = 9488005632. Its totient is φ = 885141504.

The previous prime is 3130331231. The next prime is 3130331287. The reversal of 3130331232 is 2321330313.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 3130331199 and 3130331208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3130331231) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41173 + ... + 89195.

It is an arithmetic number, because the mean of its divisors is an integer number (98833392).

Almost surely, 23130331232 is an apocalyptic number.

3130331232 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3130331232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4744002816).

3130331232 is an abundant number, since it is smaller than the sum of its proper divisors (6357674400).

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

3130331232 is a wasteful number, since it uses less digits than its factorization.

3130331232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48140 (or 48132 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

The square root of 3130331232 is about 55949.3631062946. The cubic root of 3130331232 is about 1462.8397896734.

Adding to 3130331232 its reverse (2321330313), we get a palindrome (5451661545).

The spelling of 3130331232 in words is "three billion, one hundred thirty million, three hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 97 112 168 194 224 291 336 388 582 672 679 776 1164 1358 1552 2037 2328 2716 3104 4074 4656 5432 8148 9312 10864 16296 21728 32592 48023 65184 96046 144069 192092 288138 336161 384184 576276 672322 768368 1008483 1152552 1344644 1536736 2016966 2305104 2689288 4033932 4610208 4658231 5378576 8067864 9316462 10757152 13974693 16135728 18632924 27949386 32271456 32607617 37265848 55898772 65215234 74531696 97822851 111797544 130430468 149063392 195645702 223595088 260860936 391291404 447190176 521721872 782582808 1043443744 1565165616 3130331232