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3123300131220 = 2235371453968267
BaseRepresentation
bin101101011100110011001…
…100011110000110010100
3102001120210011012220220210
4231130303030132012110
5402133004313144340
610350454013125420
7441436201036233
oct55346314360624
912046704186823
103123300131220
11aa4647555275
12425396a89870
131986ab644229
14ab250650b1a
155639e2c6180
hex2d73331e194

3123300131220 has 96 divisors (see below), whose sum is σ = 8987788914048. Its totient is φ = 809811205632.

The previous prime is 3123300131209. The next prime is 3123300131279. The reversal of 3123300131220 is 221310033213.

3123300131220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2741527 + ... + 3709793.

It is an arithmetic number, because the mean of its divisors is an integer number (93622801188).

Almost surely, 23123300131220 is an apocalyptic number.

3123300131220 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 3123300131220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4493894457024).

3123300131220 is an abundant number, since it is smaller than the sum of its proper divisors (5864488782828).

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

3123300131220 is a wasteful number, since it uses less digits than its factorization.

3123300131220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969769 (or 969767 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 3123300131220 its reverse (221310033213), we get a palindrome (3344610164433).

The spelling of 3123300131220 in words is "three trillion, one hundred twenty-three billion, three hundred million, one hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 1453 2220 2906 4359 5812 7265 8718 14530 17436 21795 29060 43590 53761 87180 107522 161283 215044 268805 322566 537610 645132 806415 968267 1075220 1612830 1936534 2904801 3225660 3873068 4841335 5809602 9682670 11619204 14524005 19365340 29048010 35825879 58096020 71651758 107477637 143303516 179129395 214955274 358258790 429910548 537388185 716517580 1074776370 1406891951 2149552740 2813783902 4220675853 5627567804 7034459755 8441351706 14068919510 16882703412 21103379265 28137839020 42206758530 52055002187 84413517060 104110004374 156165006561 208220008748 260275010935 312330013122 520550021870 624660026244 780825032805 1041100043740 1561650065610 3123300131220