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1321200100 = 2252118111481
BaseRepresentation
bin100111010111111…
…1110100111100100
310102002001220211001
41032233332213210
510201211400400
6335033523044
744512005223
oct11657764744
93362056731
101321200100
11618868210
1230a573484
1318094b70c
14c767ccba
157aecba6a
hex4ebfe9e4

1321200100 has 72 divisors (see below), whose sum is σ = 3133611936. Its totient is φ = 479520000.

The previous prime is 1321200079. The next prime is 1321200103. The reversal of 1321200100 is 10021231.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (1321200103) 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, 891360 + ... + 892840.

It is an arithmetic number, because the mean of its divisors is an integer number (43522388).

Almost surely, 21321200100 is an apocalyptic number.

1321200100 is a gapful number since it is divisible by the number (10) 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 1321200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1566805968).

1321200100 is an abundant number, since it is smaller than the sum of its proper divisors (1812411836).

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

1321200100 is a wasteful number, since it uses less digits than its factorization.

1321200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2317 (or 2310 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1321200100 is about 36348.3163296459. The cubic root of 1321200100 is about 1097.2936500089.

Adding to 1321200100 its reverse (10021231), we get a palindrome (1331221331).

The spelling of 1321200100 in words is "one billion, three hundred twenty-one million, two hundred thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 811 1100 1481 1622 2962 3244 4055 5924 7405 8110 8921 14810 16220 16291 17842 20275 29620 32582 35684 37025 40550 44605 65164 74050 81100 81455 89210 148100 162910 178420 223025 325820 407275 446050 814550 892100 1201091 1629100 2402182 4804364 6005455 12010910 13212001 24021820 26424002 30027275 52848004 60054550 66060005 120109100 132120010 264240020 330300025 660600050 1321200100