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3020130133200 = 24345293213893
BaseRepresentation
bin101011111100101101110…
…010001010010011010000
3101200201111001122222220000
4223330231302022103100
5343440211303230300
610231232330050000
7431124432365055
oct53745562122320
911621431588800
103020130133200
11a649147a87a4
124093a3579900
1318ba4916bb1b
14a62645b502c
1553861b17c00
hex2bf2dc8a4d0

3020130133200 has 150 divisors (see below), whose sum is σ = 10839004808214. Its totient is φ = 805368026880.

The previous prime is 3020130133079. The next prime is 3020130133283. The reversal of 3020130133200 is 23310310203.

3020130133200 is a `hidden beast` number, since 30 + 2 + 0 + 1 + 301 + 332 + 0 + 0 = 666.

3020130133200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 14955333264 + 3005174799936 = 122292^2 + 1733544^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 46574547 + ... + 46639346.

Almost surely, 23020130133200 is an apocalyptic number.

3020130133200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3020130133200 is an abundant number, since it is smaller than the sum of its proper divisors (7818874675014).

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

3020130133200 is a wasteful number, since it uses less digits than its factorization.

3020130133200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93213923 (or 93213903 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 3020130133200 its reverse (23310310203), we get a palindrome (3043440443403).

The spelling of 3020130133200 in words is "three trillion, twenty billion, one hundred thirty million, one hundred thirty-three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 36 40 45 48 50 54 60 72 75 80 81 90 100 108 120 135 144 150 162 180 200 216 225 240 270 300 324 360 400 405 432 450 540 600 648 675 720 810 900 1080 1200 1296 1350 1620 1800 2025 2160 2700 3240 3600 4050 5400 6480 8100 10800 16200 32400 93213893 186427786 279641679 372855572 466069465 559283358 745711144 838925037 932138930 1118566716 1398208395 1491422288 1677850074 1864277860 2237133432 2330347325 2516775111 2796416790 3355700148 3728555720 4194625185 4474266864 4660694650 5033550222 5592833580 6711400296 6991041975 7457111440 7550325333 8389250370 9321389300 10067100444 11185667160 12583875555 13422800592 13982083950 15100650666 16778500740 18642778600 20134200888 20973125925 22371334320 25167751110 27964167900 30201301332 33557001480 37285557200 37751626665 40268401776 41946251850 50335502220 55928335800 60402602664 62919377775 67114002960 75503253330 83892503700 100671004440 111856671600 120805205328 125838755550 151006506660 167785007400 188758133325 201342008880 251677511100 302013013320 335570014800 377516266650 503355022200 604026026640 755032533300 1006710044400 1510065066600 3020130133200