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103332130000 = 2454112813343
BaseRepresentation
bin110000000111100010…
…0110010110011010000
3100212201101122002021221
41200033010302303100
53143111011130000
6115245314054424
710315444420141
oct1401704626320
9325641562257
10103332130000
113a906325750
121803987a414
139989c613b8
145003801ac8
152a4ba3761a
hex180f132cd0

103332130000 has 200 divisors, whose sum is σ = 273974000256. Its totient is φ = 37430400000.

The previous prime is 103332129931. The next prime is 103332130001. The reversal of 103332130000 is 31233301.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103332130001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 30908329 + ... + 30911671.

Almost surely, 2103332130000 is an apocalyptic number.

103332130000 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 103332130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136987000128).

103332130000 is an abundant number, since it is smaller than the sum of its proper divisors (170641870256).

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

103332130000 is a wasteful number, since it uses less digits than its factorization.

103332130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3663 (or 3642 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 103332130000 its reverse (31233301), we get a palindrome (103363363301).

It can be divided in two parts, 103332 and 130000, that added together give a palindrome (233332).

The spelling of 103332130000 in words is "one hundred three billion, three hundred thirty-two million, one hundred thirty thousand".