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2131223032000 = 2653949128069
BaseRepresentation
bin11111000000110110110…
…010101011000011000000
321112202001121010120002101
4133000312302223003000
5234404221044011000
64311023110000144
7306655456605256
oct37006662530300
97482047116071
102131223032000
11751934927a67
122a5066346054
13125c8693587a
147521a5625d6
153a6883cae6a
hex1f036cab0c0

2131223032000 has 112 divisors (see below), whose sum is σ = 5278717997280. Its totient is φ = 852369024000.

The previous prime is 2131223031979. The next prime is 2131223032031. The reversal of 2131223032000 is 2303221312.

It is a super-2 number, since 2×21312230320002 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75913966 + ... + 75942034.

It is an arithmetic number, because the mean of its divisors is an integer number (47131410690).

Almost surely, 22131223032000 is an apocalyptic number.

2131223032000 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 2131223032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2639358998640).

2131223032000 is an abundant number, since it is smaller than the sum of its proper divisors (3147494965280).

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

2131223032000 is an equidigital number, since it uses as much as digits as its factorization.

2131223032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37587 (or 37567 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 2131223032000 its reverse (2303221312), we get a palindrome (2133526253312).

The spelling of 2131223032000 in words is "two trillion, one hundred thirty-one billion, two hundred twenty-three million, 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 9491 18982 28069 37964 47455 56138 75928 94910 112276 140345 151856 189820 224552 237275 280690 303712 379640 449104 474550 561380 607424 701725 759280 898208 949100 1122760 1186375 1403450 1518560 1796416 1898200 2245520 2372750 2806900 3037120 3508625 3796400 4491040 4745500 5613800 7017250 7592800 8982080 9491000 11227600 14034500 15185600 18982000 22455200 28069000 37964000 44910400 56138000 75928000 112276000 224552000 266402879 532805758 1065611516 1332014395 2131223032 2664028790 4262446064 5328057580 6660071975 8524892128 10656115160 13320143950 17049784256 21312230320 26640287900 33300359875 42624460640 53280575800 66600719750 85248921280 106561151600 133201439500 213122303200 266402879000 426244606400 532805758000 1065611516000 2131223032000