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2033211132120 = 2335712231979141
BaseRepresentation
bin11101100101100100110…
…100111100100011011000
321012101001222110011111110
4131211210310330203120
5231303004022211440
64154013322500320
7266615603320110
oct35454464744330
97171058404443
102033211132120
11714309750a13
1228a0723646a0
13119966c94c3c
147059d580040
1537d4d9a3080
hex1d964d3c8d8

2033211132120 has 128 divisors (see below), whose sum is σ = 6976713047040. Its totient is φ = 464353743360.

The previous prime is 2033211132119. The next prime is 2033211132143. The reversal of 2033211132120 is 212311123302.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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, 37750 + ... + 2016890.

It is an arithmetic number, because the mean of its divisors is an integer number (54505570680).

Almost surely, 22033211132120 is an apocalyptic number.

2033211132120 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 2033211132120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3488356523520).

2033211132120 is an abundant number, since it is smaller than the sum of its proper divisors (4943501914920).

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

2033211132120 is a wasteful number, since it uses less digits than its factorization.

2033211132120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1980385 (or 1980381 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 2033211132120 its reverse (212311123302), we get a palindrome (2245522255422).

The spelling of 2033211132120 in words is "two trillion, thirty-three billion, two hundred eleven million, one hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 1223 2446 3669 4892 6115 7338 8561 9784 12230 14676 17122 18345 24460 25683 29352 34244 36690 42805 48920 51366 68488 73380 85610 102732 128415 146760 171220 205464 256830 342440 513660 1027320 1979141 3958282 5937423 7916564 9895705 11874846 13853987 15833128 19791410 23749692 27707974 29687115 39582820 41561961 47499384 55415948 59374230 69269935 79165640 83123922 110831896 118748460 138539870 166247844 207809805 237496920 277079740 332495688 415619610 554159480 831239220 1662478440 2420489443 4840978886 7261468329 9681957772 12102447215 14522936658 16943426101 19363915544 24204894430 29045873316 33886852202 36307341645 48409788860 50830278303 58091746632 67773704404 72614683290 84717130505 96819577720 101660556606 135547408808 145229366580 169434261010 203321113212 254151391515 290458733160 338868522020 406642226424 508302783030 677737044040 1016605566060 2033211132120