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30119137120 = 2556712722123
BaseRepresentation
bin11100000011001111…
…011000111101100000
32212202001110200210001
4130003033120331200
5443140444341440
621500405345344
72114244304252
oct340317307540
985661420701
1030119137120
1111856516566
125a06a08254
132abcc79337
14165a1bbcd2
15bb430db9a
hex7033d8f60

30119137120 has 96 divisors (see below), whose sum is σ = 72790437888. Its totient is φ = 11773859328.

The previous prime is 30119137109. The next prime is 30119137151. The reversal of 30119137120 is 2173191103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1350379 + ... + 1372501.

It is an arithmetic number, because the mean of its divisors is an integer number (758233728).

Almost surely, 230119137120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30119137120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36395218944).

30119137120 is an abundant number, since it is smaller than the sum of its proper divisors (42671300768).

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

30119137120 is a wasteful number, since it uses less digits than its factorization.

30119137120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22332 (or 22324 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 28.

The spelling of 30119137120 in words is "thirty billion, one hundred nineteen million, one hundred thirty-seven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 67 80 127 134 160 254 268 335 508 536 635 670 1016 1072 1270 1340 2032 2144 2540 2680 4064 5080 5360 8509 10160 10720 17018 20320 22123 34036 42545 44246 68072 85090 88492 110615 136144 170180 176984 221230 272288 340360 353968 442460 680720 707936 884920 1361440 1482241 1769840 2809621 2964482 3539680 5619242 5928964 7411205 11238484 11857928 14048105 14822410 22476968 23715856 28096210 29644820 44953936 47431712 56192420 59289640 89907872 112384840 118579280 188244607 224769680 237158560 376489214 449539360 752978428 941223035 1505956856 1882446070 3011913712 3764892140 6023827424 7529784280 15059568560 30119137120