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2033230131120 = 2435359208311329
BaseRepresentation
bin11101100101100101111…
…101011010111110110000
321012101010022012102020010
4131211211331122332300
5231303023403143440
64154015242014520
7266616223646556
oct35454575327660
97171108172203
102033230131120
11714319448171
1228a0787a7440
1311996abb7856
14705a1cc7bd6
1537d504a7580
hex1d965f5afb0

2033230131120 has 160 divisors (see below), whose sum is σ = 6324163084800. Its totient is φ = 540377137152.

The previous prime is 2033230131083. The next prime is 2033230131161. The reversal of 2033230131120 is 211310323302.

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, 179465616 + ... + 179476944.

It is an arithmetic number, because the mean of its divisors is an integer number (39526019280).

Almost surely, 22033230131120 is an apocalyptic number.

2033230131120 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 2033230131120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3162081542400).

2033230131120 is an abundant number, since it is smaller than the sum of its proper divisors (4290932953680).

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

2033230131120 is a wasteful number, since it uses less digits than its factorization.

2033230131120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13787 (or 13781 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 2033230131120 its reverse (211310323302), we get a palindrome (2244540454422).

The spelling of 2033230131120 in words is "two trillion, thirty-three billion, two hundred thirty million, one hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 359 718 1077 1436 1795 2083 2154 2872 3590 4166 4308 5385 5744 6249 7180 8332 8616 10415 10770 11329 12498 14360 16664 17232 20830 21540 22658 24996 28720 31245 33328 33987 41660 43080 45316 49992 56645 62490 67974 83320 86160 90632 99984 113290 124980 135948 166640 169935 181264 226580 249960 271896 339870 453160 499920 543792 679740 747797 906320 1359480 1495594 2243391 2718960 2991188 3738985 4067111 4486782 5982376 7477970 8134222 8973564 11216955 11964752 12201333 14955940 16268444 17947128 20335555 22433910 23598307 24402666 29911880 32536888 35894256 40671110 44867820 47196614 48805332 59823760 61006665 65073776 70794921 81342220 89735640 94393228 97610664 117991535 122013330 141589842 162684440 179471280 188786456 195221328 235983070 244026660 283179684 325368880 353974605 377572912 471966140 488053320 566359368 707949210 943932280 976106640 1132718736 1415898420 1887864560 2831796840 5663593680 8471792213 16943584426 25415376639 33887168852 42358961065 50830753278 67774337704 84717922130 101661506556 127076883195 135548675408 169435844260 203323013112 254153766390 338871688520 406646026224 508307532780 677743377040 1016615065560 2033230131120