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1301110120 = 235198591993
BaseRepresentation
bin100110110001101…
…0101110101101000
310100200021020112201
41031203111311220
510131041010440
6333035145544
744146152652
oct11543256550
93320236481
101301110120
11608496322
123038a52b4
1317973635b
14c4b2d6d2
157935e19a
hex4d8d5d68

1301110120 has 64 divisors (see below), whose sum is σ = 3086712000. Its totient is φ = 492231168.

The previous prime is 1301110117. The next prime is 1301110121. The reversal of 1301110120 is 210111031.

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

It is a junction number, because it is equal to n+sod(n) for n = 1301110097 and 1301110106.

It is not an unprimeable number, because it can be changed into a prime (1301110121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 651844 + ... + 653836.

It is an arithmetic number, because the mean of its divisors is an integer number (48229875).

Almost surely, 21301110120 is an apocalyptic number.

1301110120 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 1301110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1543356000).

1301110120 is an abundant number, since it is smaller than the sum of its proper divisors (1785601880).

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

1301110120 is a wasteful number, since it uses less digits than its factorization.

1301110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2882 (or 2878 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

The square root of 1301110120 is about 36070.9040640791. The cubic root of 1301110120 is about 1091.7034554611.

Adding to 1301110120 its reverse (210111031), we get a palindrome (1511221151).

The spelling of 1301110120 in words is "one billion, three hundred one million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 760 859 1718 1993 3436 3986 4295 6872 7972 8590 9965 15944 16321 17180 19930 32642 34360 37867 39860 65284 75734 79720 81605 130568 151468 163210 189335 302936 326420 378670 652840 757340 1514680 1711987 3423974 6847948 8559935 13695896 17119870 32527753 34239740 65055506 68479480 130111012 162638765 260222024 325277530 650555060 1301110120