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121141410 = 235132910711
BaseRepresentation
bin1110011100001…
…11100010100010
322102221121202220
413032013202202
5222003011120
620004251510
73000453645
oct716074242
9272847686
10121141410
1162421375
12346a0b96
131c136610
1412135a5c
15a97db40
hex73878a2

121141410 has 64 divisors (see below), whose sum is σ = 323930880. Its totient is φ = 28788480.

The previous prime is 121141409. The next prime is 121141417. The reversal of 121141410 is 14141121.

It is a super-3 number, since 3×1211414103 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 121141410.

It is not an unprimeable number, because it can be changed into a prime (121141417) 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 31 ways as a sum of consecutive naturals, for example, 5955 + ... + 16665.

It is an arithmetic number, because the mean of its divisors is an integer number (5061420).

Almost surely, 2121141410 is an apocalyptic number.

121141410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 121141410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161965440).

121141410 is an abundant number, since it is smaller than the sum of its proper divisors (202789470).

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

121141410 is a wasteful number, since it uses less digits than its factorization.

121141410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10763.

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 121141410 is about 11006.4258503839. The cubic root of 121141410 is about 494.8013487145.

Adding to 121141410 its reverse (14141121), we get a palindrome (135282531).

The spelling of 121141410 in words is "one hundred twenty-one million, one hundred forty-one thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 29 30 39 58 65 78 87 130 145 174 195 290 377 390 435 754 870 1131 1885 2262 3770 5655 10711 11310 21422 32133 53555 64266 107110 139243 160665 278486 310619 321330 417729 621238 696215 835458 931857 1392430 1553095 1863714 2088645 3106190 4038047 4177290 4659285 8076094 9318570 12114141 20190235 24228282 40380470 60570705 121141410