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200110100112 = 243213139769039
BaseRepresentation
bin1011101001011101111…
…1011100111010010000
3201010112000110100110100
42322113133130322100
511234311141200422
6231532421532400
720312625533406
oct2722737347220
9633460410410
10200110100112
1177958a3102a
1232948574100
1315b4108ac80
149984981476
155312e717ac
hex2e977dce90

200110100112 has 120 divisors (see below), whose sum is σ = 607449315200. Its totient is φ = 61129292544.

The previous prime is 200110100093. The next prime is 200110100123. The reversal of 200110100112 is 211001011002.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 200110100094 and 200110100103.

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, 124312 + ... + 644727.

Almost surely, 2200110100112 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 200110100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303724657600).

200110100112 is an abundant number, since it is smaller than the sum of its proper divisors (407339215088).

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

200110100112 is a wasteful number, since it uses less digits than its factorization.

200110100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769205 (or 769196 counting only the distinct ones).

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

Adding to 200110100112 its reverse (211001011002), we get a palindrome (411111111114).

The spelling of 200110100112 in words is "two hundred billion, one hundred ten million, one hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 139 144 156 208 234 278 312 417 468 556 624 834 936 1112 1251 1668 1807 1872 2224 2502 3336 3614 5004 5421 6672 7228 10008 10842 14456 16263 20016 21684 28912 32526 43368 65052 86736 130104 260208 769039 1538078 2307117 3076156 4614234 6152312 6921351 9228468 9997507 12304624 13842702 18456936 19995014 27685404 29992521 36913872 39990028 55370808 59985042 79980056 89977563 106896421 110741616 119970084 159960112 179955126 213792842 239940168 320689263 359910252 427585684 479880336 641378526 719820504 855171368 962067789 1282757052 1389653473 1439641008 1710342736 1924135578 2565514104 2779306946 3848271156 4168960419 5131028208 5558613892 7696542312 8337920838 11117227784 12506881257 15393084624 16675841676 22234455568 25013762514 33351683352 50027525028 66703366704 100055050056 200110100112