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122003136 = 2632211811
BaseRepresentation
bin1110100010110…
…01111011000000
322111120101211200
413101121323000
5222213100021
620034541200
73011003163
oct721317300
9274511750
10122003136
116295a842
1234a37800
131c378908
14122bbada
15aa9e126
hex7459ec0

122003136 has 42 divisors (see below), whose sum is σ = 349701612. Its totient is φ = 40667520.

The previous prime is 122003131. The next prime is 122003143. The reversal of 122003136 is 631300221.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (122003131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 105330 + ... + 106481.

Almost surely, 2122003136 is an apocalyptic number.

122003136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

122003136 is an abundant number, since it is smaller than the sum of its proper divisors (227698476).

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

122003136 is a wasteful number, since it uses less digits than its factorization.

122003136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211829 (or 211816 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 122003136 is about 11045.5029763248. The cubic root of 122003136 is about 495.9718159497.

Adding to 122003136 its reverse (631300221), we get a palindrome (753303357).

The spelling of 122003136 in words is "one hundred twenty-two million, three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 211811 423622 635433 847244 1270866 1694488 1906299 2541732 3388976 3812598 5083464 6777952 7625196 10166928 13555904 15250392 20333856 30500784 40667712 61001568 122003136