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135535010010 = 23561181409187
BaseRepresentation
bin111111000111010000…
…1000010000011011010
3110221211200000212221120
41332032201002003122
54210033430310020
6142133001350110
712535453401531
oct1761641020332
9427750025846
10135535010010
1152530a86074
1222326498336
13ca1c82599a
1467ba637318
1537d3c4b740
hex1f8e8420da

135535010010 has 64 divisors (see below), whose sum is σ = 332443972224. Its totient is φ = 35353670400.

The previous prime is 135535009993. The next prime is 135535010041. The reversal of 135535010010 is 10010535531.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 126637 + ... + 535823.

It is an arithmetic number, because the mean of its divisors is an integer number (5194437066).

Almost surely, 2135535010010 is an apocalyptic number.

135535010010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135535010010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166221986112).

135535010010 is an abundant number, since it is smaller than the sum of its proper divisors (196908962214).

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

135535010010 is a wasteful number, since it uses less digits than its factorization.

135535010010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409439.

The product of its (nonzero) digits is 1125, while the sum is 24.

Adding to 135535010010 its reverse (10010535531), we get a palindrome (145545545541).

The spelling of 135535010010 in words is "one hundred thirty-five billion, five hundred thirty-five million, ten thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 61 122 181 183 305 362 366 543 610 905 915 1086 1810 1830 2715 5430 11041 22082 33123 55205 66246 110410 165615 331230 409187 818374 1227561 2045935 2455122 4091870 6137805 12275610 24960407 49920814 74062847 74881221 124802035 148125694 149762442 222188541 249604070 370314235 374406105 444377082 740628470 748812210 1110942705 2221885410 4517833667 9035667334 13553501001 22589168335 27107002002 45178336670 67767505005 135535010010