Search a number
-
+
11120000100120 = 2333571145018259
BaseRepresentation
bin1010000111010001001110…
…1001111110011100011000
31110101001122221000101011000
42201310103221332130120
52424142230011200440
635352242454105000
72225251653203532
oct241642351763430
943331587011130
1011120000100120
1135a7a6918227a
1212b716964b160
136287c4644b62
142a62d4906852
151443cb67e730
hexa1d13a7e718

11120000100120 has 128 divisors (see below), whose sum is σ = 37588732992000. Its totient is φ = 2923568081280.

The previous prime is 11120000100107. The next prime is 11120000100127. The reversal of 11120000100120 is 2100100002111.

It is a happy number.

11120000100120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11120000100127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72432450 + ... + 72585809.

It is an arithmetic number, because the mean of its divisors is an integer number (293661976500).

Almost surely, 211120000100120 is an apocalyptic number.

11120000100120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11120000100120 is an abundant number, since it is smaller than the sum of its proper divisors (26468732891880).

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

11120000100120 is a wasteful number, since it uses less digits than its factorization.

11120000100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145018350 (or 145018340 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11120000100120 its reverse (2100100002111), we get a palindrome (13220100102231).

The spelling of 11120000100120 in words is "eleven trillion, one hundred twenty billion, one hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 71 72 90 108 120 135 142 180 213 216 270 284 355 360 426 540 568 639 710 852 1065 1080 1278 1420 1704 1917 2130 2556 2840 3195 3834 4260 5112 6390 7668 8520 9585 12780 15336 19170 25560 38340 76680 145018259 290036518 435054777 580073036 725091295 870109554 1160146072 1305164331 1450182590 1740219108 2175273885 2610328662 2900365180 3480438216 3915492993 4350547770 5220657324 5800730360 6525821655 7830985986 8701095540 10296296389 10441314648 13051643310 15661971972 17402191080 19577464965 20592592778 26103286620 30888889167 31323943944 39154929930 41185185556 51481481945 52206573240 61777778334 78309859860 82370371112 92666667501 102962963890 123555556668 154444445835 156619719720 185333335002 205925927780 247111113336 278000002503 308888891670 370666670004 411851855560 463333337505 556000005006 617777783340 741333340008 926666675010 1112000010012 1235555566680 1390000012515 1853333350020 2224000020024 2780000025030 3706666700040 5560000050060 11120000100120