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121102032 = 24353181263
BaseRepresentation
bin1110011011111…
…01111011010000
322102212121202110
413031331323100
5222000231112
620003345320
73000231102
oct715757320
9272777673
10121102032
11623a4827
1234682240
131c12170c
1412125572
15a97213c
hex737ded0

121102032 has 80 divisors (see below), whose sum is σ = 321729408. Its totient is φ = 39237120.

The previous prime is 121102021. The next prime is 121102039. The reversal of 121102032 is 230201121.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 121101999 and 121102017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121102039) 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 15 ways as a sum of consecutive naturals, for example, 460333 + ... + 460595.

Almost surely, 2121102032 is an apocalyptic number.

121102032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121102032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160864704).

121102032 is an abundant number, since it is smaller than the sum of its proper divisors (200627376).

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

121102032 is a wasteful number, since it uses less digits than its factorization.

121102032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 121102032 is about 11004.6368408958. The cubic root of 121102032 is about 494.7477298375.

Adding to 121102032 its reverse (230201121), we get a palindrome (351303153).

The spelling of 121102032 in words is "one hundred twenty-one million, one hundred two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 106 159 181 212 263 318 362 424 526 543 636 724 789 848 1052 1086 1272 1448 1578 2104 2172 2544 2896 3156 4208 4344 6312 8688 9593 12624 13939 19186 27878 28779 38372 41817 47603 55756 57558 76744 83634 95206 111512 115116 142809 153488 167268 190412 223024 230232 285618 334536 380824 460464 571236 669072 761648 1142472 2284944 2522959 5045918 7568877 10091836 15137754 20183672 30275508 40367344 60551016 121102032