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2132012033000 = 23533496179901
BaseRepresentation
bin11111000001100101110…
…100011110001111101000
321112211002120202221222122
4133001211310132033220
5234412330040024000
64311233253010412
7310014150161603
oct37014564361750
97484076687878
102132012033000
117521aa236103
122a5246623a08
13126081237275
147529326733a
153a6d27ce085
hex1f065d1e3e8

2132012033000 has 128 divisors (see below), whose sum is σ = 5011818084000. Its totient is φ = 848897280000.

The previous prime is 2132012032991. The next prime is 2132012033051. The reversal of 2132012033000 is 3302102312.

It can be written as a sum of positive squares in 16 ways, for example, as 23981000164 + 2108031032836 = 154858^2 + 1451906^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2132012033000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 215328050 + ... + 215337950.

Almost surely, 22132012033000 is an apocalyptic number.

2132012033000 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 2132012033000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2505909042000).

2132012033000 is an abundant number, since it is smaller than the sum of its proper divisors (2879806051000).

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

2132012033000 is a wasteful number, since it uses less digits than its factorization.

2132012033000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10888 (or 10874 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 2132012033000 its reverse (3302102312), we get a palindrome (2135314135312).

The spelling of 2132012033000 in words is "two trillion, one hundred thirty-two billion, twelve million, thirty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 349 500 617 698 1000 1234 1396 1745 2468 2792 3085 3490 4936 6170 6980 8725 9901 12340 13960 15425 17450 19802 24680 30850 34900 39604 43625 49505 61700 69800 77125 79208 87250 99010 123400 154250 174500 198020 215333 247525 308500 349000 396040 430666 495050 617000 861332 990100 1076665 1237625 1722664 1980200 2153330 2475250 3455449 4306660 4950500 5383325 6108917 6910898 8613320 9901000 10766650 12217834 13821796 17277245 21533300 24435668 26916625 27643592 30544585 34554490 43066600 48871336 53833250 61089170 69108980 86386225 107666500 122178340 138217960 152722925 172772450 215333000 244356680 305445850 345544900 431931125 610891700 691089800 763614625 863862250 1221783400 1527229250 1727724500 2132012033 3054458500 3455449000 4264024066 6108917000 8528048132 10660060165 17056096264 21320120330 42640240660 53300300825 85280481320 106600601650 213201203300 266501504125 426402406600 533003008250 1066006016500 2132012033000