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3130211424 = 253109389769
BaseRepresentation
bin1011101010010011…
…0011110001100000
322002011001012211110
42322210303301200
522402313231144
61234335143320
7140366233554
oct27244636140
98064035743
103130211424
111366a1719a
12734374b40
133ab675312
14219a1d864
15134c150b9
hexba933c60

3130211424 has 96 divisors (see below), whose sum is σ = 8324316000. Its totient is φ = 1029832704.

The previous prime is 3130211423. The next prime is 3130211431. The reversal of 3130211424 is 4241120313.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3130211424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3130211423) 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, 4070112 + ... + 4070880.

It is an arithmetic number, because the mean of its divisors is an integer number (86711625).

Almost surely, 23130211424 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 3130211424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4162158000).

3130211424 is an abundant number, since it is smaller than the sum of its proper divisors (5194104576).

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

3130211424 is a wasteful number, since it uses less digits than its factorization.

3130211424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280 (or 1272 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 3130211424 is about 55948.2924136206. The cubic root of 3130211424 is about 1462.8211268831.

Adding to 3130211424 its reverse (4241120313), we get a palindrome (7371331737).

The spelling of 3130211424 in words is "three billion, one hundred thirty million, two hundred eleven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 109 218 327 389 436 654 769 778 872 1167 1308 1538 1556 1744 2307 2334 2616 3076 3112 3488 4614 4668 5232 6152 6224 9228 9336 10464 12304 12448 18456 18672 24608 36912 37344 42401 73824 83821 84802 127203 167642 169604 251463 254406 299141 335284 339208 502926 508812 598282 670568 678416 897423 1005852 1017624 1196564 1341136 1356832 1794846 2011704 2035248 2393128 2682272 3589692 4023408 4070496 4786256 7179384 8046816 9572512 14358768 28717536 32606369 65212738 97819107 130425476 195638214 260850952 391276428 521701904 782552856 1043403808 1565105712 3130211424