Search a number
-
+
1200251314320 = 243515971313133
BaseRepresentation
bin10001011101110100100…
…011011010000010010000
311020202001120121012102020
4101131310203122002100
5124131103314024240
62315215435051440
7152500226560602
oct21356443320220
94222046535366
101200251314320
11423029638283
121747498a0b80
138924c69a6c6
1442141a67172
152134bcce0d0
hex117748da090

1200251314320 has 80 divisors (see below), whose sum is σ = 3721023928512. Its totient is φ = 320045954560.

The previous prime is 1200251314277. The next prime is 1200251314369. The reversal of 1200251314320 is 234131520021.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3676474 + ... + 3989606.

Almost surely, 21200251314320 is an apocalyptic number.

1200251314320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1200251314320 is an abundant number, since it is smaller than the sum of its proper divisors (2520772614192).

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

1200251314320 is a wasteful number, since it uses less digits than its factorization.

1200251314320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329120 (or 329114 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 1200251314320 its reverse (234131520021), we get a palindrome (1434382834341).

The spelling of 1200251314320 in words is "one trillion, two hundred billion, two hundred fifty-one million, three hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 15971 31942 47913 63884 79855 95826 127768 159710 191652 239565 255536 313133 319420 383304 479130 626266 638840 766608 939399 958260 1252532 1277680 1565665 1878798 1916520 2505064 3131330 3757596 3833040 4696995 5010128 6262660 7515192 9393990 12525320 15030384 18787980 25050640 37575960 75151920 5001047143 10002094286 15003141429 20004188572 25005235715 30006282858 40008377144 50010471430 60012565716 75015707145 80016754288 100020942860 120025131432 150031414290 200041885720 240050262864 300062828580 400083771440 600125657160 1200251314320