[go: up one dir, main page]

Search a number
-
+
2301130104 = 2337133493019
BaseRepresentation
bin1000100100101000…
…0111010101111000
312221100222112001220
42021022013111320
514203042130404
61020201112040
7111011166060
oct21112072570
95840875056
102301130104
11a80a23119
12542788620
132a897c660
1417b8843a0
15d70464d9
hex89287578

2301130104 has 128 divisors (see below), whose sum is σ = 7103040000. Its totient is φ = 604952064.

The previous prime is 2301130067. The next prime is 2301130129. The reversal of 2301130104 is 4010311032.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 760707 + ... + 763725.

It is an arithmetic number, because the mean of its divisors is an integer number (55492500).

Almost surely, 22301130104 is an apocalyptic number.

2301130104 is a gapful number since it is divisible by the number (24) 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 2301130104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3551520000).

2301130104 is an abundant number, since it is smaller than the sum of its proper divisors (4801909896).

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

2301130104 is a wasteful number, since it uses less digits than its factorization.

2301130104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3397 (or 3393 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2301130104 is about 47970.0959348634. The cubic root of 2301130104 is about 1320.2222812078. Note that the first 4 decimals are identical.

Adding to 2301130104 its reverse (4010311032), we get a palindrome (6311441136).

The spelling of 2301130104 in words is "two billion, three hundred one million, one hundred thirty thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 349 364 546 698 728 1047 1092 1396 2094 2184 2443 2792 3019 4188 4537 4886 6038 7329 8376 9057 9074 9772 12076 13611 14658 18114 18148 19544 21133 24152 27222 29316 31759 36228 36296 39247 42266 54444 58632 63399 63518 72456 78494 84532 95277 108888 117741 126798 127036 156988 169064 190554 235482 253596 254072 274729 313976 381108 470964 507192 549458 762216 824187 941928 1053631 1098916 1648374 2107262 2197832 3160893 3296748 4214524 6321786 6593496 7375417 8429048 12643572 13697203 14750834 22126251 25287144 27394406 29501668 41091609 44252502 54788812 59003336 82183218 88505004 95880421 109577624 164366436 177010008 191760842 287641263 328732872 383521684 575282526 767043368 1150565052 2301130104