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1320120100 = 2252131039859
BaseRepresentation
bin100111010101111…
…0110111100100100
310102000001001100001
41032223312330210
510200422320400
6334554431044
744466556435
oct11653667444
93360031301
101320120100
1161819a852
1230a132484
13180660c70
14c747b48c
157ad66a6a
hex4eaf6f24

1320120100 has 72 divisors (see below), whose sum is σ = 3115286720. Its totient is φ = 482647680.

The previous prime is 1320120073. The next prime is 1320120119. The reversal of 1320120100 is 10210231.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128971 + ... + 138829.

Almost surely, 21320120100 is an apocalyptic number.

1320120100 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 1320120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1557643360).

1320120100 is an abundant number, since it is smaller than the sum of its proper divisors (1795166620).

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

1320120100 is a wasteful number, since it uses less digits than its factorization.

1320120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9989 (or 9982 counting only the distinct ones).

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

The square root of 1320120100 is about 36333.4570334286. The cubic root of 1320120100 is about 1096.9945784305.

Adding to 1320120100 its reverse (10210231), we get a palindrome (1330330331).

The spelling of 1320120100 in words is "one billion, three hundred twenty million, one hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 103 130 206 260 325 412 515 650 1030 1300 1339 2060 2575 2678 5150 5356 6695 9859 10300 13390 19718 26780 33475 39436 49295 66950 98590 128167 133900 197180 246475 256334 492950 512668 640835 985900 1015477 1281670 2030954 2563340 3204175 4061908 5077385 6408350 10154770 12816700 13201201 20309540 25386925 26402402 50773850 52804804 66006005 101547700 132012010 264024020 330030025 660060050 1320120100