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135031213104 = 24331101898483
BaseRepresentation
bin111110111000001111…
…1001100110000110000
3110220112120001100111220
41331300133030300300
54203020442304404
6142011003305040
712520125242064
oct1756037146060
9426476040456
10135031213104
11522a2665a97
122220581b180
13c96c3415c8
14676d773aa4
1537a48d34d9
hex1f707ccc30

135031213104 has 80 divisors (see below), whose sum is σ = 363648820224. Its totient is φ = 43127136000.

The previous prime is 135031213087. The next prime is 135031213117. The reversal of 135031213104 is 401312130531.

It is a super-3 number, since 3×1350312131043 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 15 ways as a sum of consecutive naturals, for example, 298954 + ... + 599529.

Almost surely, 2135031213104 is an apocalyptic number.

It is an amenable number.

135031213104 is an abundant number, since it is smaller than the sum of its proper divisors (228617607120).

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

135031213104 is a wasteful number, since it uses less digits than its factorization.

135031213104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898626 (or 898620 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 135031213104 its reverse (401312130531), we get a palindrome (536343343635).

The spelling of 135031213104 in words is "one hundred thirty-five billion, thirty-one million, two hundred thirteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 101 124 186 202 248 303 372 404 496 606 744 808 1212 1488 1616 2424 3131 4848 6262 9393 12524 18786 25048 37572 50096 75144 150288 898483 1796966 2695449 3593932 5390898 7187864 10781796 14375728 21563592 27852973 43127184 55705946 83558919 90746783 111411892 167117838 181493566 222823784 272240349 334235676 362987132 445647568 544480698 668471352 725974264 1088961396 1336942704 1451948528 2177922792 2813150273 4355845584 5626300546 8439450819 11252601092 16878901638 22505202184 33757803276 45010404368 67515606552 135031213104