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113121201000 = 23353314192903
BaseRepresentation
bin110100101011010001…
…1001000101101101000
3101210222121111102020010
41221112203020231220
53323133011413000
6123544523531520
711113151225553
oct1512643105550
9353877442203
10113121201000
1143a79a72675
1219b10089ba0
13a88a038bc2
14569193969a
152e2112cd50
hex1a568c8b68

113121201000 has 256 divisors, whose sum is σ = 365318553600. Its totient is φ = 29112864000.

The previous prime is 113121200993. The next prime is 113121201007. The reversal of 113121201000 is 102121311.

It is an interprime number because it is at equal distance from previous prime (113121200993) and next prime (113121201007).

It is a super-2 number, since 2×1131212010002 (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (113121201007) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 38965549 + ... + 38968451.

It is an arithmetic number, because the mean of its divisors is an integer number (1427025600).

Almost surely, 2113121201000 is an apocalyptic number.

113121201000 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 113121201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182659276800).

113121201000 is an abundant number, since it is smaller than the sum of its proper divisors (252197352600).

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

113121201000 is a wasteful number, since it uses less digits than its factorization.

113121201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3377 (or 3363 counting only the distinct ones).

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

Adding to 113121201000 its reverse (102121311), we get a palindrome (113223322311).

The spelling of 113121201000 in words is "one hundred thirteen billion, one hundred twenty-one million, two hundred one thousand".