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121151226 = 23721512729
BaseRepresentation
bin1110011100010…
…01111011111010
322102222010020110
413032021323322
5222003314401
620004405150
73000524400
oct716117372
9272863213
10121151226
1162428789
12346a67b6
131c13ac21
1412139470
15a9819d6
hex7389efa

121151226 has 48 divisors (see below), whose sum is σ = 283832640. Its totient is φ = 34372800.

The previous prime is 121151221. The next prime is 121151227. The reversal of 121151226 is 622151121.

It is a super-2 number, since 2×1211512262 = 29355239122606152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (121151221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43030 + ... + 45758.

It is an arithmetic number, because the mean of its divisors is an integer number (5913180).

Almost surely, 2121151226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121151226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141916320).

121151226 is an abundant number, since it is smaller than the sum of its proper divisors (162681414).

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

121151226 is a wasteful number, since it uses less digits than its factorization.

121151226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2899 (or 2892 counting only the distinct ones).

The product of its digits is 240, while the sum is 21.

The square root of 121151226 is about 11006.8717626763. The cubic root of 121151226 is about 494.8147128175.

The spelling of 121151226 in words is "one hundred twenty-one million, one hundred fifty-one thousand, two hundred twenty-six".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 151 294 302 453 906 1057 2114 2729 3171 5458 6342 7399 8187 14798 16374 19103 22197 38206 44394 57309 114618 133721 267442 401163 412079 802326 824158 1236237 2472474 2884553 5769106 8653659 17307318 20191871 40383742 60575613 121151226