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1300231104 = 26319615843
BaseRepresentation
bin100110101111111…
…1111001111000000
310100121121120202120
41031133333033000
510130324343404
6333004244240
744135532144
oct11537771700
93317546676
101300231104
11607a45967
12303540680
131794b9223
14c4981224
15792389d9
hex4d7ff3c0

1300231104 has 112 divisors (see below), whose sum is σ = 3681252480. Its totient is φ = 403799040.

The previous prime is 1300231091. The next prime is 1300231133. The reversal of 1300231104 is 4011320031.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 219607 + ... + 225449.

Almost surely, 21300231104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1300231104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1840626240).

1300231104 is an abundant number, since it is smaller than the sum of its proper divisors (2381021376).

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

1300231104 is a wasteful number, since it uses less digits than its factorization.

1300231104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5938 (or 5928 counting only the distinct ones).

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

The square root of 1300231104 is about 36058.7174480735. The cubic root of 1300231104 is about 1091.4575523729.

Adding to 1300231104 its reverse (4011320031), we get a palindrome (5311551135).

The spelling of 1300231104 in words is "one billion, three hundred million, two hundred thirty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 61 64 76 96 114 122 152 183 192 228 244 304 366 456 488 608 732 912 976 1159 1216 1464 1824 1952 2318 2928 3477 3648 3904 4636 5843 5856 6954 9272 11686 11712 13908 17529 18544 23372 27816 35058 37088 46744 55632 70116 74176 93488 111017 111264 140232 186976 222034 222528 280464 333051 356423 373952 444068 560928 666102 712846 888136 1069269 1121856 1332204 1425692 1776272 2138538 2664408 2851384 3552544 4277076 5328816 5702768 6772037 7105088 8554152 10657632 11405536 13544074 17108304 20316111 21315264 22811072 27088148 34216608 40632222 54176296 68433216 81264444 108352592 162528888 216705184 325057776 433410368 650115552 1300231104