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1120011120200 = 235272212953681
BaseRepresentation
bin10000010011000101110…
…111010110111001001000
310222001221111112000000202
4100103011313112321020
5121322240321321300
62214305341151332
7143626630304600
oct20230567267110
93861844460022
101120011120200
113a1aa3095865
1216109555b548
13818028775bb
143c2cd045c00
151e2026b6ad5
hex104c5dd6e48

1120011120200 has 144 divisors (see below), whose sum is σ = 3030652203300. Its totient is φ = 383816294400.

The previous prime is 1120011120197. The next prime is 1120011120209. The reversal of 1120011120200 is 20211100211.

It can be written as a sum of positive squares in 6 ways, for example, as 221447418724 + 898563701476 = 470582^2 + 947926^2 .

It is not an unprimeable number, because it can be changed into a prime (1120011120209) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 20837360 + ... + 20891040.

Almost surely, 21120011120200 is an apocalyptic number.

1120011120200 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 1120011120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1515326101650).

1120011120200 is an abundant number, since it is smaller than the sum of its proper divisors (1910641083100).

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

1120011120200 is a wasteful number, since it uses less digits than its factorization.

1120011120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55840 (or 55824 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1120011120200 its reverse (20211100211), we get a palindrome (1140222220411).

The spelling of 1120011120200 in words is "one trillion, one hundred twenty billion, eleven million, one hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 140 175 196 200 245 280 350 392 490 700 980 1225 1400 1960 2129 2450 4258 4900 8516 9800 10645 14903 17032 21290 29806 42580 53225 53681 59612 74515 85160 104321 106450 107362 119224 149030 208642 212900 214724 268405 298060 372575 375767 417284 425800 429448 521605 536810 596120 745150 751534 834568 1043210 1073620 1342025 1490300 1503068 1878835 2086420 2147240 2608025 2630369 2684050 2980600 3006136 3757670 4172840 5216050 5260738 5368100 7515340 9394175 10432100 10521476 10736200 13151845 15030680 18788350 20864200 21042952 26303690 37576700 52607380 65759225 75153400 105214760 114286849 131518450 228573698 263036900 457147396 526073800 571434245 800007943 914294792 1142868490 1600015886 2285736980 2857171225 3200031772 4000039715 4571473960 5600055601 5714342450 6400063544 8000079430 11200111202 11428684900 16000158860 20000198575 22400222404 22857369800 28000278005 32000317720 40000397150 44800444808 56000556010 80000794300 112001112020 140001390025 160001588600 224002224040 280002780050 560005560100 1120011120200