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2032030101120 = 27354703225037
BaseRepresentation
bin11101100100011110011…
…011101010111010000000
321012021000200010120112120
4131210132123222322000
5231243044201213440
64153300213124240
7266544412605045
oct35443633527200
97167020116476
102032030101120
11713863020938
122899a2929680
131198093b2826
14704ca78b1cc
1537ccee62dd0
hex1d91e6eae80

2032030101120 has 128 divisors (see below), whose sum is σ = 6478501962240. Its totient is φ = 541757067264.

The previous prime is 2032030101107. The next prime is 2032030101137. The reversal of 2032030101120 is 211010302302.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2032030101120.

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, 8917242 + ... + 9142278.

It is an arithmetic number, because the mean of its divisors is an integer number (50613296580).

Almost surely, 22032030101120 is an apocalyptic number.

2032030101120 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 2032030101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3239250981120).

2032030101120 is an abundant number, since it is smaller than the sum of its proper divisors (4446471861120).

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

2032030101120 is a wasteful number, since it uses less digits than its factorization.

2032030101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229762 (or 229750 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 2032030101120 its reverse (211010302302), we get a palindrome (2243040403422).

The spelling of 2032030101120 in words is "two trillion, thirty-two billion, thirty million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 4703 9406 14109 18812 23515 28218 37624 47030 56436 70545 75248 94060 112872 141090 150496 188120 225037 225744 282180 300992 376240 450074 451488 564360 601984 675111 752480 900148 902976 1125185 1128720 1350222 1504960 1800296 1805952 2250370 2257440 2700444 3009920 3375555 3600592 4500740 4514880 5400888 6751110 7201184 9001480 9029760 10801776 13502220 14402368 18002960 21603552 27004440 28804736 36005920 43207104 54008880 72011840 86414208 108017760 144023680 216035520 432071040 1058349011 2116698022 3175047033 4233396044 5291745055 6350094066 8466792088 10583490110 12700188132 15875235165 16933584176 21166980220 25400376264 31750470330 33867168352 42333960440 50800752528 63500940660 67734336704 84667920880 101601505056 127001881320 135468673408 169335841760 203203010112 254003762640 338671683520 406406020224 508007525280 677343367040 1016015050560 2032030101120