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2132234152000 = 2653646941201
BaseRepresentation
bin11111000001110011000…
…011110010100001000000
321112211200001201202222021
4133001303003302201000
5234413303420331000
64311311305451224
7310022515152061
oct37016303624100
97484601652867
102132234152000
11752303656427
122a52a8aa0b14
131260b8267324
14752b4966568
153a6e705711a
hex1f0730f2840

2132234152000 has 112 divisors (see below), whose sum is σ = 5281422335280. Its totient is φ = 852741120000.

The previous prime is 2132234151991. The next prime is 2132234152003. The reversal of 2132234152000 is 2514322312.

It can be written as a sum of positive squares in 8 ways, for example, as 862609997824 + 1269624154176 = 928768^2 + 1126776^2 .

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 (2132234152003) 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 15 ways as a sum of consecutive naturals, for example, 51731400 + ... + 51772600.

It is an arithmetic number, because the mean of its divisors is an integer number (47155556565).

Almost surely, 22132234152000 is an apocalyptic number.

2132234152000 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 2132234152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2640711167640).

2132234152000 is an abundant number, since it is smaller than the sum of its proper divisors (3149188183280).

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

2132234152000 is an equidigital number, since it uses as much as digits as its factorization.

2132234152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47697 (or 47677 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 2132234152000 its reverse (2514322312), we get a palindrome (2134748474312).

The spelling of 2132234152000 in words is "two trillion, one hundred thirty-two billion, two hundred thirty-four million, one hundred fifty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 800 1000 1600 2000 4000 6469 8000 12938 25876 32345 41201 51752 64690 82402 103504 129380 161725 164804 206005 207008 258760 323450 329608 412010 414016 517520 646900 659216 808625 824020 1030025 1035040 1293800 1318432 1617250 1648040 2060050 2070080 2587600 2636864 3234500 3296080 4120100 5150125 5175200 6469000 6592160 8240200 10300250 10350400 12938000 13184320 16480400 20600500 25876000 32960800 41201000 51752000 65921600 82402000 164804000 266529269 329608000 533058538 1066117076 1332646345 2132234152 2665292690 4264468304 5330585380 6663231725 8528936608 10661170760 13326463450 17057873216 21322341520 26652926900 33316158625 42644683040 53305853800 66632317250 85289366080 106611707600 133264634500 213223415200 266529269000 426446830400 533058538000 1066117076000 2132234152000