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1200101131320 = 23357133128312527
BaseRepresentation
bin10001011101101011100…
…110100000010000111000
311020201200010000010001220
4101131223212200100320
5124130301342200240
62315152512112040
7152463424206360
oct21355346402070
94221603003056
101200101131320
11422a618905a3
12174707535620
1389227536420
1442129b319a0
152133da155d0
hex1176b9a0438

1200101131320 has 512 divisors, whose sum is σ = 4590611988480. Its totient is φ = 244154787840.

The previous prime is 1200101131291. The next prime is 1200101131441. The reversal of 1200101131320 is 231311010021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1200101131320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 95794897 + ... + 95807423.

It is an arithmetic number, because the mean of its divisors is an integer number (8966039040).

Almost surely, 21200101131320 is an apocalyptic number.

1200101131320 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 1200101131320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2295305994240).

1200101131320 is an abundant number, since it is smaller than the sum of its proper divisors (3390510857160).

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

1200101131320 is a wasteful number, since it uses less digits than its factorization.

1200101131320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12875 (or 12871 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 1200101131320 its reverse (231311010021), we get a palindrome (1431412141341).

The spelling of 1200101131320 in words is "one trillion, two hundred billion, one hundred one million, one hundred thirty-one thousand, three hundred twenty".