Search a number
-
+
121022136 = 233223107683
BaseRepresentation
bin1110011011010…
…10011010111000
322102201120011100
413031222122320
5221440202021
620001531400
72666446134
oct715523270
9272646140
10121022136
116234a7a4
1234643b60
131c0c4241
14121043c4
15a958626
hex736a6b8

121022136 has 96 divisors (see below), whose sum is σ = 345720960. Its totient is φ = 38170176.

The previous prime is 121022129. The next prime is 121022141. The reversal of 121022136 is 631220121.

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

It is a congruent number.

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, 176851 + ... + 177533.

It is an arithmetic number, because the mean of its divisors is an integer number (3601260).

Almost surely, 2121022136 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 121022136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172860480).

121022136 is an abundant number, since it is smaller than the sum of its proper divisors (224698824).

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

121022136 is a wasteful number, since it uses less digits than its factorization.

121022136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 121022136 is about 11001.0061358041. The cubic root of 121022136 is about 494.6389040813.

Adding to 121022136 its reverse (631220121), we get a palindrome (752242257).

The spelling of 121022136 in words is "one hundred twenty-one million, twenty-two thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 107 138 184 207 214 276 321 414 428 552 642 683 828 856 963 1284 1366 1656 1926 2049 2461 2568 2732 3852 4098 4922 5464 6147 7383 7704 8196 9844 12294 14766 15709 16392 19688 22149 24588 29532 31418 44298 47127 49176 59064 62836 73081 88596 94254 125672 141381 146162 177192 188508 219243 282762 292324 377016 438486 565524 584648 657729 876972 1131048 1315458 1680863 1753944 2630916 3361726 5042589 5261832 6723452 10085178 13446904 15127767 20170356 30255534 40340712 60511068 121022136