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2032020331120 = 2451319532319319
BaseRepresentation
bin11101100100011101110…
…110011001101001110000
321012020222222202012121201
4131210131312121221300
5231243034201043440
64153255223500544
7266544233554063
oct35443566315160
97166888665551
102032020331120
1171385855855a
1228999b5b7754
13119807371870
14704c93668da
1537cce18319a
hex1d91dd99a70

2032020331120 has 160 divisors (see below), whose sum is σ = 5356932134400. Its totient is φ = 710625457152.

The previous prime is 2032020331069. The next prime is 2032020331181. The reversal of 2032020331120 is 211330202302.

It is a Harshad number since it is a multiple of its sum of digits (19).

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, 105172821 + ... + 105192139.

It is an arithmetic number, because the mean of its divisors is an integer number (33480825840).

Almost surely, 22032020331120 is an apocalyptic number.

2032020331120 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 2032020331120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2678466067200).

2032020331120 is an abundant number, since it is smaller than the sum of its proper divisors (3324911803280).

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

2032020331120 is a wasteful number, since it uses less digits than its factorization.

2032020331120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24687 (or 24681 counting only the distinct ones).

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

Adding to 2032020331120 its reverse (211330202302), we get a palindrome (2243350533422).

The spelling of 2032020331120 in words is "two trillion, thirty-two billion, twenty million, three hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 19 20 26 38 40 52 65 76 80 95 104 130 152 190 208 247 260 304 380 494 520 760 988 1040 1235 1520 1976 2470 3952 4940 5323 9880 10646 19319 19760 21292 26615 38638 42584 53230 69199 77276 85168 96595 101137 106460 138398 154552 193190 202274 212920 251147 276796 309104 345995 367061 386380 404548 425840 502294 505685 553592 691990 734122 772760 809096 1004588 1011370 1107184 1255735 1314781 1383980 1468244 1545520 1618192 1835305 2009176 2022740 2511470 2629562 2767960 2936488 3670610 4018352 4045480 4771793 5022940 5259124 5535920 5872976 6573905 7341220 8090960 9543586 10045880 10518248 13147810 14682440 19087172 20091760 21036496 23858965 26295620 29364880 38174344 47717930 52591240 76348688 95435860 102835037 105182480 190871720 205670074 381743440 411340148 514175185 822680296 1028350370 1336855481 1645360592 1953865703 2056700740 2673710962 3907731406 4113401480 5347421924 6684277405 7815462812 8226802960 9769328515 10694843848 13368554810 15630925624 19538657030 21389687696 25400254139 26737109620 31261851248 39077314060 50800508278 53474219240 78154628120 101601016556 106948438480 127001270695 156309256240 203202033112 254002541390 406404066224 508005082780 1016010165560 2032020331120