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1210130400 = 25352504221
BaseRepresentation
bin100100000100001…
…0001111111100000
310010100001222211110
41020020101333200
54434243133100
6320025143320
741662636653
oct11010217740
93110058743
101210130400
115710a5976
1229932ab40
131639304bb
14b6a0989a
157138c250
hex48211fe0

1210130400 has 72 divisors (see below), whose sum is σ = 3938982264. Its totient is φ = 322700800.

The previous prime is 1210130393. The next prime is 1210130407. The reversal of 1210130400 is 40310121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1210130393) and next prime (1210130407).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1210130407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 249711 + ... + 254510.

It is an arithmetic number, because the mean of its divisors is an integer number (54708087).

Almost surely, 21210130400 is an apocalyptic number.

1210130400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1210130400 is an abundant number, since it is smaller than the sum of its proper divisors (2728851864).

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

1210130400 is a wasteful number, since it uses less digits than its factorization.

1210130400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504244 (or 504231 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1210130400 is about 34786.9285795685. The cubic root of 1210130400 is about 1065.6405148769.

Adding to 1210130400 its reverse (40310121), we get a palindrome (1250440521).

The spelling of 1210130400 in words is "one billion, two hundred ten million, one hundred thirty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2400 504221 1008442 1512663 2016884 2521105 3025326 4033768 5042210 6050652 7563315 8067536 10084420 12101304 12605525 15126630 16135072 20168840 24202608 25211050 30253260 37816575 40337680 48405216 50422100 60506520 75633150 80675360 100844200 121013040 151266300 201688400 242026080 302532600 403376800 605065200 1210130400