Search a number
-
+
30032301232220 = 2257333891291793
BaseRepresentation
bin1101101010000011100001…
…01001011001000001011100
310221100001121201011101000012
412311001300221121001130
512414022123103412340
6143512352042422352
76216522264341000
oct665016051310134
9127301551141005
1030032301232220
11962969a1179a1
123450564b019b8
13139b0594bb301
1475b7dd2a4700
15371320969565
hex1b5070a5905c

30032301232220 has 96 divisors (see below), whose sum is σ = 73570251888000. Its totient is φ = 10293742728192.

The previous prime is 30032301232207. The next prime is 30032301232223. The reversal of 30032301232220 is 2223210323003.

It is a super-2 number, since 2×300323012322202 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30032301232223) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 22602644 + ... + 23894436.

It is an arithmetic number, because the mean of its divisors is an integer number (766356790500).

Almost surely, 230032301232220 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 30032301232220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36785125944000).

30032301232220 is an abundant number, since it is smaller than the sum of its proper divisors (43537950655780).

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

30032301232220 is a wasteful number, since it uses less digits than its factorization.

30032301232220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1295212 (or 1295196 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

Adding to 30032301232220 its reverse (2223210323003), we get a palindrome (32255511555223).

The spelling of 30032301232220 in words is "thirty trillion, thirty-two billion, three hundred one million, two hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 343 490 686 980 1372 1715 3389 3430 6778 6860 13556 16945 23723 33890 47446 67780 94892 118615 166061 237230 332122 474460 664244 830305 1162427 1291793 1660610 2324854 2583586 3321220 4649708 5167172 5812135 6458965 9042551 11624270 12917930 18085102 23248540 25835860 36170204 45212755 63297857 90425510 126595714 180851020 253191428 316489285 443084999 632978570 886169998 1265957140 1772339996 2215424995 4377886477 4430849990 8755772954 8861699980 17511545908 21889432385 30645205339 43778864770 61290410678 87557729540 122580821356 153226026695 214516437373 306452053390 429032874746 612904106780 858065749492 1072582186865 1501615061611 2145164373730 3003230123222 4290328747460 6006460246444 7508075308055 15016150616110 30032301232220