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30011132220 = 2235151221937
BaseRepresentation
bin11011111100110011…
…011000100100111100
32212110112020110220120
4123330303120210330
5442430322212340
621441550414540
72111463262206
oct337463304474
985415213816
1030011132220
1111800557913
125996801450
132aa3792104
141649b05776
15ba9ac74d0
hex6fccd893c

30011132220 has 72 divisors (see below), whose sum is σ = 84595209552. Its totient is φ = 7949606400.

The previous prime is 30011132131. The next prime is 30011132227. The reversal of 30011132220 is 2223111003.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 30011132220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30011132227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1357092 + ... + 1379028.

It is an arithmetic number, because the mean of its divisors is an integer number (1174933466).

Almost surely, 230011132220 is an apocalyptic number.

30011132220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30011132220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42297604776).

30011132220 is an abundant number, since it is smaller than the sum of its proper divisors (54584077332).

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

30011132220 is a wasteful number, since it uses less digits than its factorization.

30011132220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22251 (or 22098 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 30011132220 its reverse (2223111003), we get a palindrome (32234243223).

The spelling of 30011132220 in words is "thirty billion, eleven million, one hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 151 302 453 604 755 906 1510 1812 2265 3020 4530 9060 21937 22801 43874 45602 65811 68403 87748 91204 109685 114005 131622 136806 219370 228010 263244 273612 329055 342015 438740 456020 658110 684030 1316220 1368060 3312487 6624974 9937461 13249948 16562435 19874922 33124870 39749844 49687305 66249740 99374610 198749220 500185537 1000371074 1500556611 2000742148 2500927685 3001113222 5001855370 6002226444 7502783055 10003710740 15005566110 30011132220