Search a number
-
+
10011430140120 = 2332560623458729
BaseRepresentation
bin1001000110101111011110…
…1111001011100011011000
31022110002020210001112101100
42101223313233023203120
52303011402103440440
633143104300351400
72052205400053053
oct221536757134330
938402223045340
1010011430140120
11320a907353512
121158347845560
135780c6218146
142687ad1aba9a
1512564864b230
hex91af7bcb8d8

10011430140120 has 96 divisors (see below), whose sum is σ = 32537755598400. Its totient is φ = 2669664846336.

The previous prime is 10011430140109. The next prime is 10011430140137. The reversal of 10011430140120 is 2104103411001.

10011430140120 is a `hidden beast` number, since 100 + 1 + 1 + 430 + 14 + 0 + 120 = 666.

It is a super-2 number, since 2×100114301401202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10011430140093 and 10011430140102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21594916 + ... + 22053644.

It is an arithmetic number, because the mean of its divisors is an integer number (338934954150).

Almost surely, 210011430140120 is an apocalyptic number.

10011430140120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011430140120 is an abundant number, since it is smaller than the sum of its proper divisors (22526325458280).

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

10011430140120 is a wasteful number, since it uses less digits than its factorization.

10011430140120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519369 (or 519362 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10011430140120 its reverse (2104103411001), we get a palindrome (12115533551121).

The spelling of 10011430140120 in words is "ten trillion, eleven billion, four hundred thirty million, one hundred forty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 60623 121246 181869 242492 303115 363738 458729 484984 545607 606230 727476 909345 917458 1091214 1212460 1376187 1454952 1818690 1834916 2182428 2293645 2424920 2728035 2752374 3637380 3669832 4128561 4364856 4587290 5456070 5504748 6880935 7274760 8257122 9174580 10912140 11009496 13761870 16514244 18349160 20642805 21824280 27523740 33028488 41285610 55047480 82571220 165142440 27809528167 55619056334 83428584501 111238112668 139047640835 166857169002 222476225336 250285753503 278095281670 333714338004 417142922505 500571507006 556190563340 667428676008 834285845010 1001143014012 1112381126680 1251428767515 1668571690020 2002286028024 2502857535030 3337143380040 5005715070060 10011430140120