Search a number
-
+
30102013120 = 2651930716127
BaseRepresentation
bin11100000010001110…
…000100010011000000
32212200212020201001211
4130002032010103000
5443122103404440
621454554335504
72113645614124
oct340216042300
985625221054
1030102013120
111184788aaa3
125a0112a594
132ab9561caa
141657c01584
15bb2a79eea
hex7023844c0

30102013120 has 112 divisors (see below), whose sum is σ = 75703541760. Its totient is φ = 11369217024.

The previous prime is 30102013093. The next prime is 30102013127. The reversal of 30102013120 is 2131020103.

It is a super-2 number, since 2×301020131202 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 30102013120.

It is not an unprimeable number, because it can be changed into a prime (30102013127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1858497 + ... + 1874623.

It is an arithmetic number, because the mean of its divisors is an integer number (675924480).

Almost surely, 230102013120 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 30102013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37851770880).

30102013120 is an abundant number, since it is smaller than the sum of its proper divisors (45601528640).

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

30102013120 is a wasteful number, since it uses less digits than its factorization.

30102013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16470 (or 16460 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 30102013120 its reverse (2131020103), we get a palindrome (32233033223).

The spelling of 30102013120 in words is "thirty billion, one hundred two million, thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 152 160 190 304 307 320 380 608 614 760 1216 1228 1520 1535 2456 3040 3070 4912 5833 6080 6140 9824 11666 12280 16127 19648 23332 24560 29165 32254 46664 49120 58330 64508 80635 93328 98240 116660 129016 161270 186656 233320 258032 306413 322540 373312 466640 516064 612826 645080 933280 1032128 1225652 1290160 1532065 1866560 2451304 2580320 3064130 4902608 4950989 5160640 6128260 9805216 9901978 12256520 19610432 19803956 24513040 24754945 39607912 49026080 49509890 79215824 94068791 98052160 99019780 158431648 188137582 198039560 316863296 376275164 396079120 470343955 752550328 792158240 940687910 1505100656 1584316480 1881375820 3010201312 3762751640 6020402624 7525503280 15051006560 30102013120