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1310220001200 = 2435211136172931
BaseRepresentation
bin10011000100001111001…
…100101001111110110000
311122020220111002022021010
4103010033030221332300
5132431312310014300
62441523505430520
7163442321153265
oct23041714517660
94566814068233
101310220001200
11465730040380
12191b1a03b440
1396726552a26
14475b4a1926c
152413628da50
hex1310f329fb0

1310220001200 has 240 divisors, whose sum is σ = 4582050337152. Its totient is φ = 317391360000.

The previous prime is 1310220001187. The next prime is 1310220001231. The reversal of 1310220001200 is 21000220131.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17928735 + ... + 18001665.

Almost surely, 21310220001200 is an apocalyptic number.

1310220001200 is a gapful number since it is divisible by the number (10) 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 1310220001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2291025168576).

1310220001200 is an abundant number, since it is smaller than the sum of its proper divisors (3271830335952).

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

1310220001200 is a wasteful number, since it uses less digits than its factorization.

1310220001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74324 (or 74313 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 1310220001200 its reverse (21000220131), we get a palindrome (1331220221331).

The spelling of 1310220001200 in words is "one trillion, three hundred ten billion, two hundred twenty million, one thousand, two hundred".