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121409146530 = 23257397485423
BaseRepresentation
bin111000100010010001…
…1001000111010100010
3102121101012201200010200
41301010203020322202
53442121220142110
6131435151210030
711525426501220
oct1610443107242
9377335650120
10121409146530
1147542330831
121b643816916
13b5ab119099
145c3a559b10
153258a556c0
hex1c448c8ea2

121409146530 has 96 divisors (see below), whose sum is σ = 361668063744. Its totient is φ = 27680704128.

The previous prime is 121409146493. The next prime is 121409146543. The reversal of 121409146530 is 35641904121.

It is a happy number.

121409146530 is a `hidden beast` number, since 121 + 40 + 9 + 1 + 465 + 30 = 666.

It is a super-2 number, since 2×1214091465302 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7399 + ... + 492821.

It is an arithmetic number, because the mean of its divisors is an integer number (3767375664).

Almost surely, 2121409146530 is an apocalyptic number.

121409146530 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 121409146530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180834031872).

121409146530 is an abundant number, since it is smaller than the sum of its proper divisors (240258917214).

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

121409146530 is a wasteful number, since it uses less digits than its factorization.

121409146530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485840 (or 485837 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

It can be divided in two parts, 1214091 and 46530, that added together give a palindrome (1260621).

The spelling of 121409146530 in words is "one hundred twenty-one billion, four hundred nine million, one hundred forty-six thousand, five hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 397 630 794 1191 1985 2382 2779 3573 3970 5558 5955 7146 8337 11910 13895 16674 17865 25011 27790 35730 41685 50022 83370 125055 250110 485423 970846 1456269 2427115 2912538 3397961 4368807 4854230 6795922 7281345 8737614 10193883 14562690 16989805 20387766 21844035 30581649 33979610 43688070 50969415 61163298 101938830 152908245 192712931 305816490 385425862 578138793 963564655 1156277586 1348990517 1734416379 1927129310 2697981034 2890693965 3468832758 4046971551 5781387930 6744952585 8093943102 8672081895 12140914653 13489905170 17344163790 20234857755 24281829306 40469715510 60704573265 121409146530