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133433433100 = 2252111011201021
BaseRepresentation
bin111110001000101000…
…0001001110000001100
3110202102012112201101201
41330101100021300030
54141232424324400
6141144245315244
712432414316252
oct1742120116014
9422365481351
10133433433100
1151652770250
1221a3a705b24
13c776305156
14665b49a5d2
15370e4c206a
hex1f11409c0c

133433433100 has 72 divisors (see below), whose sum is σ = 319001051376. Its totient is φ = 48040800000.

The previous prime is 133433433079. The next prime is 133433433103. The reversal of 133433433100 is 1334334331.

It is a super-2 number, since 2×1334334331002 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133433433103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 489411 + ... + 711610.

It is an arithmetic number, because the mean of its divisors is an integer number (4430570158).

Almost surely, 2133433433100 is an apocalyptic number.

133433433100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133433433100 is an abundant number, since it is smaller than the sum of its proper divisors (185567618276).

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

133433433100 is a wasteful number, since it uses less digits than its factorization.

133433433100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1201147 (or 1201140 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 28.

Adding to 133433433100 its reverse (1334334331), we get a palindrome (134767767431).

133433433100 divided by its reverse (1334334331) gives a square (100 = 102).

It can be divided in two parts, 13343 and 3433100, that added together give a palindrome (3446443).

The spelling of 133433433100 in words is "one hundred thirty-three billion, four hundred thirty-three million, four hundred thirty-three thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 101 110 202 220 275 404 505 550 1010 1100 1111 2020 2222 2525 4444 5050 5555 10100 11110 22220 27775 55550 111100 1201021 2402042 4804084 6005105 12010210 13211231 24020420 26422462 30025525 52844924 60051050 66056155 120102100 121303121 132112310 242606242 264224620 330280775 485212484 606515605 660561550 1213031210 1321123100 1334334331 2426062420 2668668662 3032578025 5337337324 6065156050 6671671655 12130312100 13343343310 26686686620 33358358275 66716716550 133433433100