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133212130000 = 245426350651
BaseRepresentation
bin111110000010000001…
…1111100101011010000
3110201211210010100121121
41330010003330223100
54140304301130000
6141110302132024
712424056264565
oct1740403745320
9421753110547
10133212130000
1151549857a24
1221998581014
13c73c4cc581
146639d3086c
1536e9d5ab1a
hex1f040fcad0

133212130000 has 100 divisors (see below), whose sum is σ = 323752591008. Its totient is φ = 53081200000.

The previous prime is 133212129983. The next prime is 133212130001. The reversal of 133212130000 is 31212331.

It is a tau number, because it is divible by the number of its divisors (100).

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 (133212130001) 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 19 ways as a sum of consecutive naturals, for example, 2604675 + ... + 2655325.

Almost surely, 2133212130000 is an apocalyptic number.

133212130000 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 133212130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161876295504).

133212130000 is an abundant number, since it is smaller than the sum of its proper divisors (190540461008).

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

133212130000 is an equidigital number, since it uses as much as digits as its factorization.

133212130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50942 (or 50921 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 133212130000 its reverse (31212331), we get a palindrome (133243342331).

The spelling of 133212130000 in words is "one hundred thirty-three billion, two hundred twelve million, one hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 263 400 500 526 625 1000 1052 1250 1315 2000 2104 2500 2630 4208 5000 5260 6575 10000 10520 13150 21040 26300 32875 50651 52600 65750 101302 105200 131500 164375 202604 253255 263000 328750 405208 506510 526000 657500 810416 1013020 1266275 1315000 2026040 2532550 2630000 4052080 5065100 6331375 10130200 12662750 13321213 20260400 25325500 26642426 31656875 50651000 53284852 63313750 66606065 101302000 106569704 126627500 133212130 213139408 253255000 266424260 333030325 506510000 532848520 666060650 1065697040 1332121300 1665151625 2664242600 3330303250 5328485200 6660606500 8325758125 13321213000 16651516250 26642426000 33303032500 66606065000 133212130000