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121302213030 = 232537268313577
BaseRepresentation
bin111000011111000101…
…1001110000110100110
3102121002202111212221200
41300332023032012212
53441411331304110
6131420411223330
711522660540565
oct1607613160646
9377082455850
10121302213030
1147497a34039
121b613a47b46
13b591c1871b
145c2a281bdc
15324e4816c0
hex1c3e2ce1a6

121302213030 has 96 divisors (see below), whose sum is σ = 324054285984. Its totient is φ = 31458958848.

The previous prime is 121302212963. The next prime is 121302213041. The reversal of 121302213030 is 30312203121.

121302213030 is a `hidden beast` number, since 12 + 130 + 221 + 303 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 121302212994 and 121302213012.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 8927602 + ... + 8941178.

It is an arithmetic number, because the mean of its divisors is an integer number (3375565479).

Almost surely, 2121302213030 is an apocalyptic number.

121302213030 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 121302213030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162027142992).

121302213030 is an abundant number, since it is smaller than the sum of its proper divisors (202752072954).

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

121302213030 is a wasteful number, since it uses less digits than its factorization.

121302213030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16310 (or 16307 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 121302213030 its reverse (30312203121), we get a palindrome (151614416151).

Subtracting from 121302213030 its reverse (30312203121), we obtain a palindrome (90990009909).

The spelling of 121302213030 in words is "one hundred twenty-one billion, three hundred two million, two hundred thirteen thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1110 1665 2683 3330 5366 8049 13415 13577 16098 24147 26830 27154 40245 40731 48294 67885 80490 81462 99271 120735 122193 135770 198542 203655 241470 244386 297813 407310 496355 502349 595626 610965 893439 992710 1004698 1221930 1489065 1507047 1786878 2511745 2978130 3014094 4467195 4521141 5023490 7535235 8934390 9042282 15070470 22605705 36427091 45211410 72854182 109281273 182135455 218562546 327843819 364270910 546406365 655687638 1092812730 1347802367 1639219095 2695604734 3278438190 4043407101 6739011835 8086814202 12130221303 13478023670 20217035505 24260442606 40434071010 60651106515 121302213030