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30031122330 = 23351122345343
BaseRepresentation
bin11011111101111111…
…101000111110011010
32212111220212002012000
4123331333220332122
5443000431403310
621443543101430
72112125220336
oct337577507632
985456762160
1030031122330
1111810870770
1259a1441876
132aa7970b91
14164c62a7c6
15bab7254c0
hex6fdfe8f9a

30031122330 has 128 divisors (see below), whose sum is σ = 87756963840. Its totient is φ = 7247465280.

The previous prime is 30031122313. The next prime is 30031122361. The reversal of 30031122330 is 3322113003.

30031122330 is a `hidden beast` number, since 3 + 0 + 0 + 311 + 22 + 330 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 639639 + ... + 684981.

It is an arithmetic number, because the mean of its divisors is an integer number (685601280).

Almost surely, 230031122330 is an apocalyptic number.

30031122330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30031122330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43878481920).

30031122330 is an abundant number, since it is smaller than the sum of its proper divisors (57725841510).

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

30031122330 is a wasteful number, since it uses less digits than its factorization.

30031122330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45593 (or 45587 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 30031122330 its reverse (3322113003), we get a palindrome (33353235333).

The spelling of 30031122330 in words is "thirty billion, thirty-one million, one hundred twenty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 223 270 297 330 446 495 594 669 990 1115 1338 1485 2007 2230 2453 2970 3345 4014 4906 6021 6690 7359 10035 12042 12265 14718 20070 22077 24530 30105 36795 44154 45343 60210 66231 73590 90686 110385 132462 136029 220770 226715 272058 331155 408087 453430 498773 662310 680145 816174 997546 1224261 1360290 1496319 2040435 2448522 2493865 2992638 4080870 4488957 4987730 6121305 7481595 8977914 10111489 12242610 13466871 14963190 20222978 22444785 26933742 30334467 44889570 50557445 60668934 67334355 91003401 101114890 111226379 134668710 151672335 182006802 222452758 273010203 303344670 333679137 455017005 546020406 556131895 667358274 910034010 1001037411 1112263790 1365051015 1668395685 2002074822 2730102030 3003112233 3336791370 5005187055 6006224466 10010374110 15015561165 30031122330