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30214430310 = 23517438771571
BaseRepresentation
bin11100001000111010…
…111001111001100110
32212222200210002110110
4130020322321321212
5443334343232220
621514052033450
72116512264051
oct341072717146
985880702413
1030214430310
11118a5292769
125a32902886
132b0693263c
141668b05a98
15bbc883be0
hex708eb9e66

30214430310 has 128 divisors (see below), whose sum is σ = 78705437184. Its totient is φ = 7393720320.

The previous prime is 30214430291. The next prime is 30214430317. The reversal of 30214430310 is 1303441203.

It is a super-2 number, since 2×302144303102 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30214430317) 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 63 ways as a sum of consecutive naturals, for example, 19231825 + ... + 19233395.

It is an arithmetic number, because the mean of its divisors is an integer number (614886228).

Almost surely, 230214430310 is an apocalyptic number.

30214430310 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 30214430310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39352718592).

30214430310 is an abundant number, since it is smaller than the sum of its proper divisors (48491006874).

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

30214430310 is a wasteful number, since it uses less digits than its factorization.

30214430310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2518.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 30214430310 its reverse (1303441203), we get a palindrome (31517871513).

The spelling of 30214430310 in words is "thirty billion, two hundred fourteen million, four hundred thirty thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 43 51 85 86 102 129 170 215 255 258 430 510 645 731 877 1290 1462 1571 1754 2193 2631 3142 3655 4385 4386 4713 5262 7310 7855 8770 9426 10965 13155 14909 15710 21930 23565 26310 26707 29818 37711 44727 47130 53414 67553 74545 75422 80121 89454 113133 133535 135106 149090 160242 188555 202659 223635 226266 267070 337765 377110 400605 405318 447270 565665 641087 675530 801210 1013295 1131330 1148401 1282174 1377767 1923261 2026590 2296802 2755534 3205435 3445203 3846522 4133301 5742005 6410870 6888835 6890406 8266602 9616305 11484010 13777670 17226015 19232610 20666505 23422039 34452030 41333010 46844078 59243981 70266117 117110195 118487962 140532234 177731943 234220390 296219905 351330585 355463886 592439810 702661170 888659715 1007147677 1777319430 2014295354 3021443031 5035738385 6042886062 10071476770 15107215155 30214430310