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4101132232000 = 2653943954311
BaseRepresentation
bin111011101011011110100…
…001111010010101000000
3112112001201221211101111101
4323223132201322111000
51014143104322411000
612420011212424144
7602203610540416
oct73533641722500
915461657741441
104101132232000
11134130a2573a1
125629b0a78054
13239973062a2b
141026d28cd2b6
1571a2e7e5e6a
hex3bade87a540

4101132232000 has 112 divisors (see below), whose sum is σ = 10157717007360. Its totient is φ = 1640248896000.

The previous prime is 4101132231991. The next prime is 4101132232003. The reversal of 4101132232000 is 2322311014.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4101132232003) 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, 75484845 + ... + 75539155.

Almost surely, 24101132232000 is an apocalyptic number.

4101132232000 is a gapful number since it is divisible by the number (40) 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 4101132232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5078858503680).

4101132232000 is an abundant number, since it is smaller than the sum of its proper divisors (6056584775360).

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

4101132232000 is an equidigital number, since it uses as much as digits as its factorization.

4101132232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63777 (or 63757 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 4101132232000 its reverse (2322311014), we get a palindrome (4103454543014).

The spelling of 4101132232000 in words is "four trillion, one hundred one billion, one hundred thirty-two million, two hundred thirty-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 8000 9439 18878 37756 47195 54311 75512 94390 108622 151024 188780 217244 235975 271555 302048 377560 434488 471950 543110 604096 755120 868976 943900 1086220 1179875 1357775 1510240 1737952 1887800 2172440 2359750 2715550 3020480 3475904 3775600 4344880 4719500 5431100 6788875 7551200 8689760 9439000 10862200 13577750 15102400 17379520 18878000 21724400 27155500 37756000 43448800 54311000 75512000 86897600 108622000 217244000 434488000 512641529 1025283058 2050566116 2563207645 4101132232 5126415290 8202264464 10252830580 12816038225 16404528928 20505661160 25632076450 32809057856 41011322320 51264152900 64080191125 82022644640 102528305800 128160382250 164045289280 205056611600 256320764500 410113223200 512641529000 820226446400 1025283058000 2050566116000 4101132232000