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30220311330132 = 22371126521455953
BaseRepresentation
bin1101101111100001101101…
…11010111111110101010100
310222000000220110022220212220
412313300312322333311110
512430112144200031012
6144135004103342340
76236226325656150
oct667606672776524
9128000813286786
1030220311330132
1196a13a89a4200
123480a951519b0
1313b29bc79cc61
14766956c36060
153761764b508c
hex1b7c36ebfd54

30220311330132 has 144 divisors (see below), whose sum is σ = 88593423386496. Its totient is φ = 7848210585600.

The previous prime is 30220311330127. The next prime is 30220311330149. The reversal of 30220311330132 is 23103311302203.

It is a super-2 number, since 2×302203113301322 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66051468 + ... + 66507420.

Almost surely, 230220311330132 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 30220311330132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44296711693248).

30220311330132 is an abundant number, since it is smaller than the sum of its proper divisors (58373112056364).

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

30220311330132 is a wasteful number, since it uses less digits than its factorization.

30220311330132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462510 (or 462497 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 30220311330132 its reverse (23103311302203), we get a palindrome (53323622632335).

The spelling of 30220311330132 in words is "thirty trillion, two hundred twenty billion, three hundred eleven million, three hundred thirty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 121 132 154 231 242 308 363 462 484 726 847 924 1452 1694 2541 3388 5082 6521 10164 13042 19563 26084 39126 45647 71731 78252 91294 136941 143462 182588 215193 273882 286924 430386 455953 502117 547764 789041 860772 911906 1004234 1367859 1506351 1578082 1823812 2008468 2367123 2735718 3012702 3156164 3191671 4734246 5015483 5471436 5523287 6025404 6383342 9468492 9575013 10030966 11046574 12766684 15046449 16569861 19150026 20061932 22093148 30092898 33139722 35108381 38300052 55170313 60185796 66279444 70216762 105325143 110340626 140433524 165510939 210650286 220681252 331021878 386192191 421300572 662043756 772384382 1158576573 1544768764 2317153146 2973269513 4634306292 5946539026 8919808539 11893078052 17839617078 20812886591 32705964643 35679234156 41625773182 62438659773 65411929286 83251546364 98117893929 124877319546 130823858572 196235787858 228941752501 249754639092 359765611073 392471575716 457883505002 686825257503 719531222146 915767010004 1079296833219 1373650515006 1439062444292 2158593666438 2518359277511 2747301030012 4317187332876 5036718555022 7555077832533 10073437110044 15110155665066 30220311330132