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2031131312 = 247191376967
BaseRepresentation
bin111100100010000…
…1001101010110000
312020112221011100122
41321010021222300
513124432200222
6533314105412
7101222221430
oct17104115260
95215834318
102031131312
11952580021
1248827b268
13264a57262
14153a802c0
15bd4b1a42
hex79109ab0

2031131312 has 80 divisors (see below), whose sum is σ = 4769456640. Its totient is φ = 818532864.

The previous prime is 2031131309. The next prime is 2031131327. The reversal of 2031131312 is 2131311302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 288053 + ... + 295019.

It is an arithmetic number, because the mean of its divisors is an integer number (59618208).

Almost surely, 22031131312 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 2031131312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2384728320).

2031131312 is an abundant number, since it is smaller than the sum of its proper divisors (2738325328).

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

2031131312 is a wasteful number, since it uses less digits than its factorization.

2031131312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7138 (or 7132 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 2031131312 is about 45068.0741989271. The cubic root of 2031131312 is about 1266.4245876561.

Adding to 2031131312 its reverse (2131311302), we get a palindrome (4162442614).

The spelling of 2031131312 in words is "two billion, thirty-one million, one hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 112 133 137 152 266 274 304 532 548 959 1064 1096 1918 2128 2192 2603 3836 5206 6967 7672 10412 13934 15344 18221 20824 27868 36442 41648 48769 55736 72884 97538 111472 132373 145768 195076 264746 291536 390152 529492 780304 926611 954479 1058984 1853222 1908958 2117968 3706444 3817916 6681353 7412888 7635832 13362706 14825776 15271664 18135101 26725412 36270202 53450824 72540404 106901648 126945707 145080808 253891414 290161616 507782828 1015565656 2031131312