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30011003220 = 223511229142543
BaseRepresentation
bin11011111100110010…
…111001000101010100
32212110111222220221210
4123330302321011110
5442430304100340
621441543541420
72111462214132
oct337462710524
985414886853
1030011003220
1111800479a00
12599675a870
132aa3748493
141649ab0752
15ba9a9e180
hex6fccb9154

30011003220 has 144 divisors (see below), whose sum is σ = 95550094080. Its totient is φ = 7024469760.

The previous prime is 30011003219. The next prime is 30011003233. The reversal of 30011003220 is 2230011003.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 30011003196 and 30011003205.

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, 139269 + ... + 281811.

It is an arithmetic number, because the mean of its divisors is an integer number (663542320).

Almost surely, 230011003220 is an apocalyptic number.

30011003220 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 30011003220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47775047040).

30011003220 is an abundant number, since it is smaller than the sum of its proper divisors (65539090860).

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

30011003220 is a wasteful number, since it uses less digits than its factorization.

30011003220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142606 (or 142593 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 30011003220 its reverse (2230011003), we get a palindrome (32241014223).

The spelling of 30011003220 in words is "thirty billion, eleven million, three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 29 30 33 44 55 58 60 66 87 110 116 121 132 145 165 174 220 242 290 319 330 348 363 435 484 580 605 638 660 726 870 957 1210 1276 1452 1595 1740 1815 1914 2420 3190 3509 3630 3828 4785 6380 7018 7260 9570 10527 14036 17545 19140 21054 35090 42108 52635 70180 105270 142543 210540 285086 427629 570172 712715 855258 1425430 1567973 1710516 2138145 2850860 3135946 4133747 4276290 4703919 6271892 7839865 8267494 8552580 9407838 12401241 15679730 16534988 17247703 18815676 20668735 23519595 24802482 31359460 34495406 41337470 45471217 47039190 49604964 51743109 62006205 68990812 82674940 86238515 90942434 94078380 103486218 124012410 136413651 172477030 181884868 206972436 227356085 248024820 258715545 272827302 344954060 454712170 500183387 517431090 545654604 682068255 909424340 1000366774 1034862180 1364136510 1500550161 2000733548 2500916935 2728273020 3001100322 5001833870 6002200644 7502750805 10003667740 15005501610 30011003220