Search a number
-
+
11120200002100 = 2252731523979831
BaseRepresentation
bin1010000111010001111110…
…0100100010101000110100
31110101002011212011110010001
42201310133210202220310
52424143132200031400
635352314354441044
72225256631302250
oct241643744425064
943332155143101
1011120200002100
1135a8060aa8622
1212b7204593184
13628826b96657
142a63132a1260
151443ddeb9a6a
hexa1d1f922a34

11120200002100 has 144 divisors (see below), whose sum is σ = 28522172686336. Its totient is φ = 3682593072000.

The previous prime is 11120200002077. The next prime is 11120200002101. The reversal of 11120200002100 is 120000202111.

It is a super-3 number, since 3×111202000021003 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11120200002101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10859185 + ... + 11839015.

Almost surely, 211120200002100 is an apocalyptic number.

11120200002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11120200002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14261086343168).

11120200002100 is an abundant number, since it is smaller than the sum of its proper divisors (17401972684236).

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

11120200002100 is a wasteful number, since it uses less digits than its factorization.

11120200002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980406 (or 980399 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 11120200002100 its reverse (120000202111), we get a palindrome (11240200204211).

The spelling of 11120200002100 in words is "eleven trillion, one hundred twenty billion, two hundred million, two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 31 35 50 62 70 100 124 140 155 175 217 310 350 434 523 620 700 775 868 1046 1085 1550 2092 2170 2615 3100 3661 4340 5230 5425 7322 10460 10850 13075 14644 16213 18305 21700 26150 32426 36610 52300 64852 73220 81065 91525 113491 162130 183050 226982 324260 366100 405325 453964 567455 810650 979831 1134910 1621300 1959662 2269820 2837275 3919324 4899155 5674550 6858817 9798310 11349100 13717634 19596620 24495775 27435268 30374761 34294085 48991550 60749522 68588170 97983100 121499044 137176340 151873805 171470425 212623327 303747610 342940850 425246654 512451613 607495220 685881700 759369025 850493308 1024903226 1063116635 1518738050 2049806452 2126233270 2562258065 3037476100 3587161291 4252466540 5124516130 5315583175 7174322582 10249032260 10631166350 12811290325 14348645164 15886000003 17935806455 21262332700 25622580650 31772000006 35871612910 51245161300 63544000012 71743225820 79430000015 89679032275 111202000021 158860000030 179358064550 222404000042 317720000060 358716129100 397150000075 444808000084 556010000105 794300000150 1112020000210 1588600000300 2224040000420 2780050000525 5560100001050 11120200002100