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3130032312 = 23321119320477
BaseRepresentation
bin1011101010010000…
…1000000010111000
322002010201010010200
42322210020002320
522402242013222
61234331242200
7140364556431
oct27244100270
98063633120
103130032312
111366904670
127342a9360
133ab611934
142199b4488
15134bcbeac
hexba9080b8

3130032312 has 96 divisors (see below), whose sum is σ = 9296192880. Its totient is φ = 943534080.

The previous prime is 3130032281. The next prime is 3130032329. The reversal of 3130032312 is 2132300313.

3130032312 is a `hidden beast` number, since 31 + 300 + 323 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142618 + ... + 163094.

Almost surely, 23130032312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3130032312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4648096440).

3130032312 is an abundant number, since it is smaller than the sum of its proper divisors (6166160568).

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

3130032312 is a wasteful number, since it uses less digits than its factorization.

3130032312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20693 (or 20686 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 3130032312 is about 55946.6916984374. The cubic root of 3130032312 is about 1462.7932252731.

Adding to 3130032312 its reverse (2132300313), we get a palindrome (5262332625).

The spelling of 3130032312 in words is "three billion, one hundred thirty million, thirty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 193 198 264 386 396 579 772 792 1158 1544 1737 2123 2316 3474 4246 4632 6369 6948 8492 12738 13896 16984 19107 20477 25476 38214 40954 50952 61431 76428 81908 122862 152856 163816 184293 225247 245724 368586 450494 491448 675741 737172 900988 1351482 1474344 1801976 2027223 2702964 3952061 4054446 5405928 7904122 8108892 11856183 15808244 16217784 23712366 31616488 35568549 43472671 47424732 71137098 86945342 94849464 130418013 142274196 173890684 260836026 284548392 347781368 391254039 521672052 782508078 1043344104 1565016156 3130032312