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30541202120 = 23511139115861
BaseRepresentation
bin11100011100011001…
…011100001011001000
32220211110122211010002
4130130121130023020
51000022021431440
622010323542132
72130560635412
oct343431341310
986743584102
1030541202120
1111a52792210
125b0422a948
132b59544c40
14169a2879b2
15bdb3d0115
hex71c65c2c8

30541202120 has 128 divisors (see below), whose sum is σ = 80833697280. Its totient is φ = 10238592000.

The previous prime is 30541202051. The next prime is 30541202123. The reversal of 30541202120 is 2120214503.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 30541202092 and 30541202101.

It is not an unprimeable number, because it can be changed into a prime (30541202123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5207990 + ... + 5213850.

It is an arithmetic number, because the mean of its divisors is an integer number (631513260).

Almost surely, 230541202120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30541202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40416848640).

30541202120 is an abundant number, since it is smaller than the sum of its proper divisors (50292495160).

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

30541202120 is a wasteful number, since it uses less digits than its factorization.

30541202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6807 (or 6803 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 30541202120 its reverse (2120214503), we get a palindrome (32661416623).

The spelling of 30541202120 in words is "thirty billion, five hundred forty-one million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 130 143 220 260 286 440 520 572 715 911 1144 1430 1822 2860 3644 4555 5720 5861 7288 9110 10021 11722 11843 18220 20042 23444 23686 29305 36440 40084 46888 47372 50105 58610 59215 64471 76193 80168 94744 100210 117220 118430 128942 130273 152386 200420 234440 236860 257884 260546 304772 322355 380965 400840 473720 515768 521092 609544 644710 651365 761930 838123 1042184 1289420 1302730 1523860 1676246 2578840 2605460 3047720 3352492 4190615 5210920 5339371 6704984 8381230 10678742 16762460 21357484 26696855 33524920 42714968 53393710 58733081 69411823 106787420 117466162 138823646 213574840 234932324 277647292 293665405 347059115 469864648 555294584 587330810 694118230 763530053 1174661620 1388236460 1527060106 2349323240 2776472920 3054120212 3817650265 6108240424 7635300530 15270601060 30541202120