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2133132244000 = 2553797669113
BaseRepresentation
bin11111000010101000100…
…101101111010000100000
321112220222122122120120221
4133002220211233100200
5234422123323302000
64311540351012424
7310054001623102
oct37025045572040
97486878576527
102133132244000
117527245a521a
122a54b980a114
131261cc343404
147535bd47572
153a74ad0861a
hex1f0a896f420

2133132244000 has 96 divisors (see below), whose sum is σ = 5247689808816. Its totient is φ = 852181043200.

The previous prime is 2133132243961. The next prime is 2133132244003. The reversal of 2133132244000 is 4422313312.

It can be written as a sum of positive squares in 8 ways, for example, as 17817978256 + 2115314265744 = 133484^2 + 1454412^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (2133132244003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2853444 + ... + 3522556.

Almost surely, 22133132244000 is an apocalyptic number.

2133132244000 is a gapful number since it is divisible by the number (20) 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 2133132244000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2623844904408).

2133132244000 is an abundant number, since it is smaller than the sum of its proper divisors (3114557564816).

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

2133132244000 is an equidigital number, since it uses as much as digits as its factorization.

2133132244000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669935 (or 669917 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 2133132244000 its reverse (4422313312), we get a palindrome (2137554557312).

The spelling of 2133132244000 in words is "two trillion, one hundred thirty-three billion, one hundred thirty-two million, two hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 797 800 1000 1594 2000 3188 3985 4000 6376 7970 12752 15940 19925 25504 31880 39850 63760 79700 99625 127520 159400 199250 318800 398500 637600 669113 797000 1338226 1594000 2676452 3188000 3345565 5352904 6691130 10705808 13382260 16727825 21411616 26764520 33455650 53529040 66911300 83639125 107058080 133822600 167278250 267645200 334556500 533283061 535290400 669113000 1066566122 1338226000 2133132244 2666415305 2676452000 4266264488 5332830610 8532528976 10665661220 13332076525 17065057952 21331322440 26664153050 42662644880 53328306100 66660382625 85325289760 106656612200 133320765250 213313224400 266641530500 426626448800 533283061000 1066566122000 2133132244000