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135503360430 = 235291011542089
BaseRepresentation
bin111111000110010100…
…0010011000110101110
3110221202110110220212220
41332030220103012232
54210002330013210
6142125511140210
712534620362644
oct1761450230656
9427673426786
10135503360430
1152515129299
1222317974666
13ca160c3c19
1467b6359194
1537d1098c70
hex1f8ca131ae

135503360430 has 64 divisors (see below), whose sum is σ = 339753268800. Its totient is φ = 34542771200.

The previous prime is 135503360411. The next prime is 135503360491. The reversal of 135503360430 is 34063305531.

It is a happy number.

It is a super-2 number, since 2×1355033604302 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 135503360391 and 135503360400.

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 31 ways as a sum of consecutive naturals, for example, 683175 + ... + 858914.

It is an arithmetic number, because the mean of its divisors is an integer number (5308644825).

Almost surely, 2135503360430 is an apocalyptic number.

135503360430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

135503360430 is an abundant number, since it is smaller than the sum of its proper divisors (204249908370).

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

135503360430 is a wasteful number, since it uses less digits than its factorization.

135503360430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1542229.

The product of its (nonzero) digits is 48600, while the sum is 33.

Adding to 135503360430 its reverse (34063305531), we get a palindrome (169566665961).

The spelling of 135503360430 in words is "one hundred thirty-five billion, five hundred three million, three hundred sixty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 101 145 174 202 290 303 435 505 606 870 1010 1515 2929 3030 5858 8787 14645 17574 29290 43935 87870 1542089 3084178 4626267 7710445 9252534 15420890 23131335 44720581 46262670 89441162 134161743 155750989 223602905 268323486 311501978 447205810 467252967 670808715 778754945 934505934 1341617430 1557509890 2336264835 4516778681 4672529670 9033557362 13550336043 22583893405 27100672086 45167786810 67751680215 135503360430