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3020011233120 = 253257299604289
BaseRepresentation
bin101011111100100110101…
…100100101111101100000
3101200201011202221020122100
4223330212230211331200
5343434440333424440
610231212441410400
7431121456634440
oct53744654457540
911621152836570
103020011233120
11a64863678372
1240936b799a00
1318ba2a63b74b
14a62528a4120
155385647d230
hex2bf26b25f60

3020011233120 has 144 divisors (see below), whose sum is σ = 11778043848480. Its totient is φ = 690288279552.

The previous prime is 3020011233061. The next prime is 3020011233181. The reversal of 3020011233120 is 213321100203.

3020011233120 is a `hidden beast` number, since 3 + 0 + 200 + 112 + 331 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 3020011233093 and 3020011233102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149792065 + ... + 149812224.

It is an arithmetic number, because the mean of its divisors is an integer number (81791971170).

Almost surely, 23020011233120 is an apocalyptic number.

3020011233120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3020011233120 is an abundant number, since it is smaller than the sum of its proper divisors (8758032615360).

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

3020011233120 is a wasteful number, since it uses less digits than its factorization.

3020011233120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299604317 (or 299604306 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 3020011233120 its reverse (213321100203), we get a palindrome (3233332333323).

It can be divided in two parts, 302001 and 1233120, that added together give a square (1535121 = 12392).

The spelling of 3020011233120 in words is "three trillion, twenty billion, eleven million, two hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1260 1440 1680 2016 2520 3360 5040 10080 299604289 599208578 898812867 1198417156 1498021445 1797625734 2097230023 2396834312 2696438601 2996042890 3595251468 4194460046 4494064335 4793668624 5392877202 5992085780 6291690069 7190502936 8388920092 8988128670 9587337248 10486150115 10785754404 11984171560 12583380138 13482193005 14381005872 16777840184 17976257340 18875070207 20972300230 21571508808 23968343120 25166760276 26964386010 28762011744 31458450345 33555680368 35952514680 37750140414 41944600460 43143017616 47936686240 50333520552 53928772020 62916900690 67111360736 71905029360 75500280828 83889200920 86286035232 94375351035 100667041104 107857544040 125833801380 143810058720 151000561656 167778401840 188750702070 201334082208 215715088080 251667602760 302001123312 335556803680 377501404140 431430176160 503335205520 604002246624 755002808280 1006670411040 1510005616560 3020011233120