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122003101 = 1117787829
BaseRepresentation
bin1110100010110…
…01111010011101
322111120101210101
413101121322131
5222213044401
620034541101
73011003113
oct721317235
9274511711
10122003101
116295a810
1234a37791
131c3788ac
14122bbab3
15aa9e101
hex7459e9d

122003101 has 16 divisors (see below), whose sum is σ = 141272640. Its totient is φ = 104129280.

The previous prime is 122003093. The next prime is 122003107. The reversal of 122003101 is 101300221.

It is a cyclic number.

It is not a de Polignac number, because 122003101 - 23 = 122003093 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122003107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146755 + ... + 147583.

It is an arithmetic number, because the mean of its divisors is an integer number (8829540).

Almost surely, 2122003101 is an apocalyptic number.

122003101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122003101 is a deficient number, since it is larger than the sum of its proper divisors (19269539).

122003101 is a wasteful number, since it uses less digits than its factorization.

122003101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1644.

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 122003101 is about 11045.5013919695. The cubic root of 122003101 is about 495.9717685219.

Adding to 122003101 its reverse (101300221), we get a palindrome (223303322).

The spelling of 122003101 in words is "one hundred twenty-two million, three thousand, one hundred one".

Divisors: 1 11 17 187 787 829 8657 9119 13379 14093 147169 155023 652423 7176653 11091191 122003101