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1331312132096 = 216195320173
BaseRepresentation
bin10011010111111000011…
…000110000000000000000
311201021100102122120110022
4103113320120300000000
5133303011401211341
62455332451153012
7165120104260262
oct23277030600000
94637312576408
101331312132096
11473673a9a511
121960258a5768
139870828465b
1448615d91b32
152496cd38e4b
hex135f8630000

1331312132096 has 136 divisors (see below), whose sum is σ = 2855764462320. Its totient is φ = 618692345856.

The previous prime is 1331312132027. The next prime is 1331312132141. The reversal of 1331312132096 is 6902312131331.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65984666 + ... + 66004838.

Almost surely, 21331312132096 is an apocalyptic number.

1331312132096 is a gapful number since it is divisible by the number (16) 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 1331312132096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1427882231160).

1331312132096 is an abundant number, since it is smaller than the sum of its proper divisors (1524452330224).

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

1331312132096 is an frugal number, since it uses more digits than its factorization.

1331312132096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20277 (or 20247 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 35.

The spelling of 1331312132096 in words is "one trillion, three hundred thirty-one billion, three hundred twelve million, one hundred thirty-two thousand, ninety-six".

Divisors: 1 2 4 8 16 19 32 38 53 64 76 106 128 152 212 256 304 424 512 608 848 1007 1024 1216 1696 2014 2048 2432 3392 4028 4096 4864 6784 8056 8192 9728 13568 16112 16384 19456 20173 27136 32224 32768 38912 40346 54272 64448 65536 77824 80692 108544 128896 155648 161384 217088 257792 311296 322768 383287 434176 515584 622592 645536 766574 868352 1031168 1069169 1245184 1291072 1533148 1736704 2062336 2138338 2582144 3066296 3473408 4124672 4276676 5164288 6132592 8249344 8553352 10328576 12265184 16498688 17106704 20314211 20657152 24530368 32997376 34213408 40628422 41314304 49060736 65994752 68426816 81256844 82628608 98121472 136853632 162513688 165257216 196242944 273707264 325027376 330514432 392485888 547414528 650054752 661028864 784971776 1094829056 1300109504 1322057728 1569943552 2189658112 2600219008 3139887104 4379316224 5200438016 6279774208 8758632448 10400876032 12559548416 17517264896 20801752064 25119096832 35034529792 41603504128 70069059584 83207008256 166414016512 332828033024 665656066048 1331312132096