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121440431010 = 235435915710163
BaseRepresentation
bin111000100011001101…
…0011110101110100010
3102121110101121002101010
41301012122132232202
53442202222243020
6131442225521350
711526256426503
oct1610632365642
9377411532333
10121440431010
1147558a59278
121b6521a3256
13b5b4750902
145c40780baa
15325b684de0
hex1c4669eba2

121440431010 has 128 divisors (see below), whose sum is σ = 305251752960. Its totient is φ = 30893780736.

The previous prime is 121440431003. The next prime is 121440431017. The reversal of 121440431010 is 10134044121.

It is an interprime number because it is at equal distance from previous prime (121440431003) and next prime (121440431017).

It is not an unprimeable number, because it can be changed into a prime (121440431017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11944189 + ... + 11954351.

It is an arithmetic number, because the mean of its divisors is an integer number (2384779320).

Almost surely, 2121440431010 is an apocalyptic number.

121440431010 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 121440431010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152625876480).

121440431010 is an abundant number, since it is smaller than the sum of its proper divisors (183811321950).

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

121440431010 is a wasteful number, since it uses less digits than its factorization.

121440431010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10432.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 121440431010 its reverse (10134044121), we get a palindrome (131574475131).

The spelling of 121440431010 in words is "one hundred twenty-one billion, four hundred forty million, four hundred thirty-one thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 43 59 86 118 129 157 177 215 258 295 314 354 430 471 590 645 785 885 942 1290 1570 1770 2355 2537 4710 5074 6751 7611 9263 10163 12685 13502 15222 18526 20253 20326 25370 27789 30489 33755 38055 40506 46315 50815 55578 60978 67510 76110 92630 101265 101630 138945 152445 202530 277890 304890 398309 437009 599617 796618 874018 1194927 1199234 1311027 1595591 1798851 1991545 2185045 2389854 2622054 2998085 3191182 3597702 3983090 4370090 4786773 5974635 5996170 6555135 7977955 8994255 9573546 11949270 13110270 15955910 17988510 23933865 25783531 47867730 51567062 68610413 77350593 94139869 128917655 137220826 154701186 188279738 205831239 257835310 282419607 343052065 386752965 411662478 470699345 564839214 686104130 773505930 941398690 1029156195 1412098035 2058312390 2824196070 4048014367 8096028734 12144043101 20240071835 24288086202 40480143670 60720215505 121440431010