Search a number
-
+
1103277153216 = 26371037969813
BaseRepresentation
bin10000000011100000011…
…100010101101111000000
310220110202021121101210210
4100003200130111233000
5121034002422400331
62202501042154120
7142465144033050
oct20034034255700
93813667541723
101103277153216
11395996210787
121599a5352940
1380066a1b4a4
143b582817560
151da7353e446
hex100e0715bc0

1103277153216 has 112 divisors (see below), whose sum is σ = 3368489705984. Its totient is φ = 312161596416.

The previous prime is 1103277153211. The next prime is 1103277153281. The reversal of 1103277153216 is 6123517723011.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×11032771532162 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1103277153211) 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, 3846475 + ... + 4123338.

Almost surely, 21103277153216 is an apocalyptic number.

1103277153216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1103277153216 is an abundant number, since it is smaller than the sum of its proper divisors (2265212552768).

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

1103277153216 is a wasteful number, since it uses less digits than its factorization.

1103277153216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7969938 (or 7969928 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 39.

The spelling of 1103277153216 in words is "one trillion, one hundred three billion, two hundred seventy-seven million, one hundred fifty-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 103 112 168 192 206 224 309 336 412 448 618 672 721 824 1236 1344 1442 1648 2163 2472 2884 3296 4326 4944 5768 6592 8652 9888 11536 17304 19776 23072 34608 46144 69216 138432 7969813 15939626 23909439 31879252 47818878 55788691 63758504 95637756 111577382 127517008 167366073 191275512 223154764 255034016 334732146 382551024 446309528 510068032 669464292 765102048 820890739 892619056 1338928584 1530204096 1641781478 1785238112 2462672217 2677857168 3283562956 3570476224 4925344434 5355714336 5746235173 6567125912 9850688868 10711428672 11492470346 13134251824 17238705519 19701377736 22984940692 26268503648 34477411038 39402755472 45969881384 52537007296 68954822076 78805510944 91939762768 137909644152 157611021888 183879525536 275819288304 367759051072 551638576608 1103277153216