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200112012110112 = 25315176917951413
BaseRepresentation
bin101101100000000000110101…
…011001011010100100100000
3222020112112002012011211010020
4231200000311121122210200
5202212113400100010422
61545334104513433440
760102421131455304
oct5540006531324440
9866475065154106
10200112012110112
1158842033a21583
121a53b06bb6b880
1387876355b328b
14375b68a135d04
15182058cb3c95c
hexb6003565a920

200112012110112 has 96 divisors (see below), whose sum is σ = 529460440629120. Its totient is φ = 66176085196800.

The previous prime is 200112012110099. The next prime is 200112012110137. The reversal of 200112012110112 is 211011210211002.

It is a happy number.

200112012110112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2001120121101122 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 200112012110091 and 200112012110100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2171718 + ... + 20123130.

It is an arithmetic number, because the mean of its divisors is an integer number (5515212923220).

Almost surely, 2200112012110112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200112012110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264730220314560).

200112012110112 is an abundant number, since it is smaller than the sum of its proper divisors (329348428519008).

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

200112012110112 is a wasteful number, since it uses less digits than its factorization.

200112012110112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17952346 (or 17952338 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 200112012110112 its reverse (211011210211002), we get a palindrome (411123222321114).

The spelling of 200112012110112 in words is "two hundred trillion, one hundred twelve billion, twelve million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 151 302 453 604 769 906 1208 1538 1812 2307 2416 3076 3624 4614 4832 6152 7248 9228 12304 14496 18456 24608 36912 73824 116119 232238 348357 464476 696714 928952 1393428 1857904 2786856 3715808 5573712 11147424 17951413 35902826 53854239 71805652 107708478 143611304 215416956 287222608 430833912 574445216 861667824 1723335648 2710663363 5421326726 8131990089 10842653452 13804636597 16263980178 21685306904 27609273194 32527960356 41413909791 43370613808 55218546388 65055920712 82827819582 86741227616 110437092776 130111841424 165655639164 220874185552 260223682848 331311278328 441748371104 662622556656 1325245113312 2084500126147 4169000252294 6253500378441 8338000504588 12507000756882 16676001009176 25014001513764 33352002018352 50028003027528 66704004036704 100056006055056 200112012110112