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133301000300 = 225213617323027
BaseRepresentation
bin111110000100101011…
…0111101100001101100
3110202001222100102202012
41330021112331201230
54141000024002200
6141123155020352
712426215543636
oct1741126754154
9422058312665
10133301000300
1151594a37556
1221a0229a6b8
13c754a47250
146647a65a56
153702a62a35
hex1f095bd86c

133301000300 has 144 divisors (see below), whose sum is σ = 320972185632. Its totient is φ = 47746713600.

The previous prime is 133301000297. The next prime is 133301000303. The reversal of 133301000300 is 3000103331.

It is an interprime number because it is at equal distance from previous prime (133301000297) and next prime (133301000303).

It is not an unprimeable number, because it can be changed into a prime (133301000303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5777387 + ... + 5800413.

Almost surely, 2133301000300 is an apocalyptic number.

133301000300 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 133301000300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160486092816).

133301000300 is an abundant number, since it is smaller than the sum of its proper divisors (187671185332).

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

133301000300 is a wasteful number, since it uses less digits than its factorization.

133301000300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23188 (or 23181 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 14.

Adding to 133301000300 its reverse (3000103331), we get a palindrome (136301103631).

The spelling of 133301000300 in words is "one hundred thirty-three billion, three hundred one million, three hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 13 20 25 26 50 52 61 65 73 100 122 130 146 244 260 292 305 325 365 610 650 730 793 949 1220 1300 1460 1525 1586 1825 1898 3050 3172 3650 3796 3965 4453 4745 6100 7300 7930 8906 9490 15860 17812 18980 19825 22265 23027 23725 39650 44530 46054 47450 57889 79300 89060 92108 94900 111325 115135 115778 222650 230270 231556 289445 299351 445300 460540 575675 578890 598702 1151350 1157780 1197404 1404647 1447225 1496755 1680971 2302700 2809294 2894450 2993510 3361942 5618588 5788900 5987020 6723884 7023235 7483775 8404855 14046470 14967550 16809710 18260411 21852623 28092940 29935100 33619420 35116175 36520822 42024275 43705246 70232350 73041644 84048550 87410492 91302055 102539231 109263115 140464700 168097100 182604110 205078462 218526230 365208220 410156924 437052460 456510275 512696155 546315575 913020550 1025392310 1092631150 1333010003 1826041100 2050784620 2185262300 2563480775 2666020006 5126961550 5332040012 6665050015 10253923100 13330100030 26660200060 33325250075 66650500150 133301000300