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1300201110120 = 2335112160155931
BaseRepresentation
bin10010111010111010000…
…001100111101001101000
311121022001020202220110010
4102322322001213221220
5132300302441010440
62433145410051520
7162636124041303
oct22727201475150
94538036686403
101300201110120
114614596a3200
1218bba2879ba0
13957ba97cb03
1446d04179b3a
1523c4b8ed580
hex12eba067a68

1300201110120 has 192 divisors, whose sum is σ = 4290194704320. Its totient is φ = 314997760000.

The previous prime is 1300201110037. The next prime is 1300201110139. The reversal of 1300201110120 is 210111020031.

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

It is a junction number, because it is equal to n+sod(n) for n = 1300201110096 and 1300201110105.

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, 23218555 + ... + 23274485.

It is an arithmetic number, because the mean of its divisors is an integer number (22344764085).

Almost surely, 21300201110120 is an apocalyptic number.

1300201110120 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 1300201110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2145097352160).

1300201110120 is an abundant number, since it is smaller than the sum of its proper divisors (2989993594200).

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

1300201110120 is a wasteful number, since it uses less digits than its factorization.

1300201110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57568 (or 57553 counting only the distinct ones).

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

Adding to 1300201110120 its reverse (210111020031), we get a palindrome (1510312130151).

The spelling of 1300201110120 in words is "one trillion, three hundred billion, two hundred one million, one hundred ten thousand, one hundred twenty".