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30322013190 = 23573716672341
BaseRepresentation
bin11100001111010101…
…010011010000000110
32220021012012212102120
4130033111103100012
5444044413410230
621532453550410
72122256600550
oct341725232006
986235185376
1030322013190
111194aa93337
125a62945406
132b22ccc751
14167910c4d0
15bc7035310
hex70f553406

30322013190 has 128 divisors (see below), whose sum is σ = 85504508928. Its totient is φ = 6736504320.

The previous prime is 30322013173. The next prime is 30322013191. The reversal of 30322013190 is 9131022303.

It is a super-2 number, since 2×303220131902 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 30322013190.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30322013191) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12951420 + ... + 12953760.

It is an arithmetic number, because the mean of its divisors is an integer number (668003976).

Almost surely, 230322013190 is an apocalyptic number.

30322013190 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 30322013190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42752254464).

30322013190 is an abundant number, since it is smaller than the sum of its proper divisors (55182495738).

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

30322013190 is a wasteful number, since it uses less digits than its factorization.

30322013190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4062.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 30322013190 its reverse (9131022303), we get a palindrome (39453035493).

It can be divided in two parts, 303220 and 13190, that added together give a triangular number (316410 = T795).

The spelling of 30322013190 in words is "thirty billion, three hundred twenty-two million, thirteen thousand, one hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 37 42 70 74 105 111 185 210 222 259 370 518 555 777 1110 1295 1554 1667 2341 2590 3334 3885 4682 5001 7023 7770 8335 10002 11669 11705 14046 16387 16670 23338 23410 25005 32774 35007 35115 49161 50010 58345 61679 70014 70230 81935 86617 98322 116690 123358 163870 173234 175035 185037 245805 259851 308395 350070 370074 431753 433085 491610 519702 606319 616790 863506 866170 925185 1212638 1295259 1299255 1818957 1850370 2158765 2590518 2598510 3031595 3637914 3902447 4317530 6063190 6476295 7804894 9094785 11707341 12952590 18189570 19512235 23414682 27317129 39024470 54634258 58536705 81951387 117073410 136585645 144390539 163902774 273171290 288781078 409756935 433171617 721952695 819513870 866343234 1010733773 1443905390 2021467546 2165858085 3032201319 4331716170 5053668865 6064402638 10107337730 15161006595 30322013190