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3122104200 = 2335250910223
BaseRepresentation
bin1011101000010111…
…1000011110001000
322001120210022210220
42322011320132020
522343224313300
61233445310040
7140240306415
oct27205703610
98046708726
103122104200
11136238a106
12731705320
133a9a97147
1421890d10c
15134162da0
hexba178788

3122104200 has 96 divisors (see below), whose sum is σ = 9698486400. Its totient is φ = 830844160.

The previous prime is 3122104169. The next prime is 3122104207. The reversal of 3122104200 is 24012213.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3122104200.

It is not an unprimeable number, because it can be changed into a prime (3122104207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 300289 + ... + 310511.

It is an arithmetic number, because the mean of its divisors is an integer number (101025900).

Almost surely, 23122104200 is an apocalyptic number.

3122104200 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 3122104200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4849243200).

3122104200 is an abundant number, since it is smaller than the sum of its proper divisors (6576382200).

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

3122104200 is a wasteful number, since it uses less digits than its factorization.

3122104200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10751 (or 10742 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 3122104200 is about 55875.7926118279. The cubic root of 3122104200 is about 1461.5571364472.

Adding to 3122104200 its reverse (24012213), we get a palindrome (3146116413).

It can be divided in two parts, 312210 and 4200, that added together give a triangular number (316410 = T795).

The spelling of 3122104200 in words is "three billion, one hundred twenty-two million, one hundred four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 509 600 1018 1527 2036 2545 3054 4072 5090 6108 7635 10180 10223 12216 12725 15270 20360 20446 25450 30540 30669 38175 40892 50900 51115 61080 61338 76350 81784 101800 102230 122676 152700 153345 204460 245352 255575 305400 306690 408920 511150 613380 766725 1022300 1226760 1533450 2044600 3066900 5203507 6133800 10407014 15610521 20814028 26017535 31221042 41628056 52035070 62442084 78052605 104070140 124884168 130087675 156105210 208140280 260175350 312210420 390263025 520350700 624420840 780526050 1040701400 1561052100 3122104200