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3020012132220 = 22325831012001413
BaseRepresentation
bin101011111100100110110…
…000000001011101111100
3101200201011211121220222100
4223330212300001131330
5343434441101212340
610231212512545100
7431121500400636
oct53744660013574
911621154556870
103020012132220
11a64864131926
1240936bb52190
1318ba2a894a65
14a6252a59a56
15538565a9830
hex2bf26c0177c

3020012132220 has 144 divisors (see below), whose sum is σ = 9362870872992. Its totient is φ = 787755763200.

The previous prime is 3020012132219. The next prime is 3020012132227. The reversal of 3020012132220 is 222312100203.

3020012132220 is a `hidden beast` number, since 3 + 0 + 200 + 121 + 322 + 20 = 666.

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 = 3020012132193 and 3020012132202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3020012132227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 508234 + ... + 2509646.

It is an arithmetic number, because the mean of its divisors is an integer number (65019936618).

Almost surely, 23020012132220 is an apocalyptic number.

3020012132220 is a gapful number since it is divisible by the number (30) 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 3020012132220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4681435436496).

3020012132220 is an abundant number, since it is smaller than the sum of its proper divisors (6342858740772).

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

3020012132220 is a wasteful number, since it uses less digits than its factorization.

3020012132220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2001612 (or 2001607 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 3020012132220 its reverse (222312100203), we get a palindrome (3242324232423).

The spelling of 3020012132220 in words is "three trillion, twenty billion, twelve million, one hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 83 90 101 166 180 202 249 303 332 404 415 498 505 606 747 830 909 996 1010 1212 1245 1494 1515 1660 1818 2020 2490 2988 3030 3636 3735 4545 4980 6060 7470 8383 9090 14940 16766 18180 25149 33532 41915 50298 75447 83830 100596 125745 150894 167660 251490 301788 377235 502980 754470 1508940 2001413 4002826 6004239 8005652 10007065 12008478 18012717 20014130 24016956 30021195 36025434 40028260 60042390 72050868 90063585 120084780 166117279 180127170 202142713 332234558 360254340 404285426 498351837 606428139 664469116 808570852 830586395 996703674 1010713565 1212856278 1495055511 1661172790 1819284417 1993407348 2021427130 2425712556 2491759185 2990111022 3032140695 3322345580 3638568834 4042854260 4983518370 5980222044 6064281390 7277137668 7475277555 9096422085 9967036740 12128562780 14950555110 16777845179 18192844170 29901110220 33555690358 36385688340 50333535537 67111380716 83889225895 100667071074 151000606611 167778451790 201334142148 251667677685 302001213222 335556903580 503335355370 604002426444 755003033055 1006670710740 1510006066110 3020012132220