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3122421300 = 22325229119633
BaseRepresentation
bin1011101000011100…
…0101111000110100
322001121101102210100
42322013011320310
522343314440200
61233500154100
7140243100045
oct27207057064
98047342710
103122421300
111362586379
12731838930
133a9b7858b
142189928cc
151341c6d00
hexba1c5e34

3122421300 has 108 divisors (see below), whose sum is σ = 10124625420. Its totient is φ = 803927040.

The previous prime is 3122421299. The next prime is 3122421319. The reversal of 3122421300 is 31242213.

3122421300 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1411344 + 3121009956 = 1188^2 + 55866^2 .

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 35 ways as a sum of consecutive naturals, for example, 33717 + ... + 85916.

Almost surely, 23122421300 is an apocalyptic number.

3122421300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3122421300 is an abundant number, since it is smaller than the sum of its proper divisors (7002204120).

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

3122421300 is a wasteful number, since it uses less digits than its factorization.

3122421300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119682 (or 119672 counting only the distinct ones).

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

The square root of 3122421300 is about 55878.6300834228. The cubic root of 3122421300 is about 1461.6066163331.

Adding to 3122421300 its reverse (31242213), we get a palindrome (3153663513).

The spelling of 3122421300 in words is "three billion, one hundred twenty-two million, four hundred twenty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 29 30 36 45 50 58 60 75 87 90 100 116 145 150 174 180 225 261 290 300 348 435 450 522 580 725 870 900 1044 1305 1450 1740 2175 2610 2900 4350 5220 6525 8700 13050 26100 119633 239266 358899 478532 598165 717798 1076697 1196330 1435596 1794495 2153394 2392660 2990825 3469357 3588990 4306788 5383485 5981650 6938714 7177980 8972475 10408071 10766970 11963300 13877428 17346785 17944950 20816142 21533940 26917425 31224213 34693570 35889900 41632284 52040355 53834850 62448426 69387140 86733925 104080710 107669700 124896852 156121065 173467850 208161420 260201775 312242130 346935700 520403550 624484260 780605325 1040807100 1561210650 3122421300