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2131133312 = 2771131787
BaseRepresentation
bin111111100000110…
…1000001110000000
312111112002210022102
41333001220032000
513331032231222
6551245325532
7103545222440
oct17701501600
95445083272
102131133312
119a3a73000
124b58668a8
1327c69b939
14163072120
15c7166d92
hex7f068380

2131133312 has 128 divisors (see below), whose sum is σ = 5339969280. Its totient is φ = 829847040.

The previous prime is 2131133299. The next prime is 2131133327. The reversal of 2131133312 is 2133311312.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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, 1191683 + ... + 1193469.

It is an arithmetic number, because the mean of its divisors is an integer number (41718510).

Almost surely, 22131133312 is an apocalyptic number.

2131133312 is a gapful number since it is divisible by the number (22) 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 2131133312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2669984640).

2131133312 is an abundant number, since it is smaller than the sum of its proper divisors (3208835968).

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

2131133312 is an equidigital number, since it uses as much as digits as its factorization.

2131133312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1841 (or 1807 counting only the distinct ones).

The product of its digits is 324, while the sum is 20.

The square root of 2131133312 is about 46164.1994623539. The cubic root of 2131133312 is about 1286.8765070101.

Adding to 2131133312 its reverse (2133311312), we get a palindrome (4264444624).

The spelling of 2131133312 in words is "two billion, one hundred thirty-one million, one hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 121 128 154 176 224 242 308 352 448 484 616 704 847 896 968 1232 1331 1408 1694 1787 1936 2464 2662 3388 3574 3872 4928 5324 6776 7148 7744 9317 9856 10648 12509 13552 14296 15488 18634 19657 21296 25018 27104 28592 37268 39314 42592 50036 54208 57184 74536 78628 85184 100072 108416 114368 137599 149072 157256 170368 200144 216227 228736 275198 298144 314512 400288 432454 550396 596288 629024 800576 864908 1100792 1192576 1258048 1513589 1601152 1729816 2201584 2378497 2516096 3027178 3459632 4403168 4756994 6054356 6919264 8806336 9513988 12108712 13838528 16649479 17612672 19027976 24217424 27677056 33298958 38055952 48434848 66597916 76111904 96869696 133195832 152223808 193739392 266391664 304447616 532783328 1065566656 2131133312