Search a number
-
+
30442213120 = 285112162089
BaseRepresentation
bin11100010110011111…
…110100111100000000
32220120120101122201211
4130112133310330000
5444321201304440
621552430135504
72125246353634
oct342637647400
986516348654
1030442213120
1111a01921320
125a97051594
132b41b96677
14168b07adc4
15bd2879eea
hex7167f4f00

30442213120 has 72 divisors (see below), whose sum is σ = 79547615280. Its totient is φ = 11069890560.

The previous prime is 30442213103. The next prime is 30442213121. The reversal of 30442213120 is 2131224403.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 30442213091 and 30442213100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30442213121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1066965 + ... + 1095124.

It is an arithmetic number, because the mean of its divisors is an integer number (1104827990).

Almost surely, 230442213120 is an apocalyptic number.

It is an amenable number.

30442213120 is an abundant number, since it is smaller than the sum of its proper divisors (49105402160).

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

30442213120 is a wasteful number, since it uses less digits than its factorization.

30442213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2162121 (or 2162107 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 30442213120 its reverse (2131224403), we get a palindrome (32573437523).

The spelling of 30442213120 in words is "thirty billion, four hundred forty-two million, two hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 640 704 880 1280 1408 1760 2816 3520 7040 14080 2162089 4324178 8648356 10810445 17296712 21620890 23782979 34593424 43241780 47565958 69186848 86483560 95131916 118914895 138373696 172967120 190263832 237829790 276747392 345934240 380527664 475659580 553494784 691868480 761055328 951319160 1383736960 1522110656 1902638320 2767473920 3044221312 3805276640 6088442624 7610553280 15221106560 30442213120