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100121220112 = 2417221652513
BaseRepresentation
bin101110100111110110…
…0001001010000010000
3100120102121201221222111
41131033230021100100
53120022013020422
6113554533115104
710143045220624
oct1351754112020
9316377657874
10100121220112
1139508900611
12174a2488a94
139597972b14
144bbb1b7184
15290ebd1a77
hex174fb09410

100121220112 has 30 divisors (see below), whose sum is σ = 206066975738. Its totient is φ = 47115866112.

The previous prime is 100121220083. The next prime is 100121220131. The reversal of 100121220112 is 211022121001.

It can be written as a sum of positive squares in 3 ways, for example, as 43437229056 + 56683991056 = 208416^2 + 238084^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100121220092 and 100121220101.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10821633 + ... + 10830880.

Almost surely, 2100121220112 is an apocalyptic number.

It is an amenable number.

100121220112 is an abundant number, since it is smaller than the sum of its proper divisors (105945755626).

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

100121220112 is a wasteful number, since it uses less digits than its factorization.

100121220112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21652555 (or 21652532 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100121220112 its reverse (211022121001), we get a palindrome (311143341113).

The spelling of 100121220112 in words is "one hundred billion, one hundred twenty-one million, two hundred twenty thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 34 68 136 272 289 578 1156 2312 4624 21652513 43305026 86610052 173220104 346440208 368092721 736185442 1472370884 2944741768 5889483536 6257576257 12515152514 25030305028 50060610056 100121220112