Search a number
-
+
1302133300 = 2252133179409
BaseRepresentation
bin100110110011100…
…1111101000110100
310100202012020002021
41031213033220310
510131321231200
6333113122524
744160643666
oct11547175064
93322166067
101302133300
11609025026
123040b9444
13179a03ca0
14c4d18536
15794b241a
hex4d9cfa34

1302133300 has 144 divisors (see below), whose sum is σ = 3188684800. Its totient is φ = 458265600.

The previous prime is 1302133291. The next prime is 1302133303. The reversal of 1302133300 is 33312031.

It is a super-2 number, since 2×13021333002 = 3391102261937780000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1302133303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3183496 + ... + 3183904.

Almost surely, 21302133300 is an apocalyptic number.

1302133300 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 1302133300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1594342400).

1302133300 is an abundant number, since it is smaller than the sum of its proper divisors (1886551500).

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

1302133300 is a wasteful number, since it uses less digits than its factorization.

1302133300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

The square root of 1302133300 is about 36085.0841761523. The cubic root of 1302133300 is about 1091.9895487110.

Adding to 1302133300 its reverse (33312031), we get a palindrome (1335445331).

The spelling of 1302133300 in words is "one billion, three hundred two million, one hundred thirty-three thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 31 50 52 62 65 79 100 124 130 155 158 260 310 316 325 395 403 409 620 650 775 790 806 818 1027 1300 1550 1580 1612 1636 1975 2015 2045 2054 2449 3100 3950 4030 4090 4108 4898 5135 5317 7900 8060 8180 9796 10075 10225 10270 10634 12245 12679 20150 20450 20540 21268 24490 25358 25675 26585 31837 32311 40300 40900 48980 50716 51350 53170 61225 63395 63674 64622 102700 106340 122450 126790 127348 129244 132925 159185 161555 164827 244900 253580 265850 316975 318370 323110 329654 420043 531700 633950 636740 646220 659308 795925 807775 824135 840086 1001641 1267900 1591850 1615550 1648270 1680172 2003282 2100215 3183700 3231100 3296540 4006564 4120675 4200430 5008205 8241350 8400860 10016410 10501075 13021333 16482700 20032820 21002150 25041025 26042666 42004300 50082050 52085332 65106665 100164100 130213330 260426660 325533325 651066650 1302133300