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30423042100 = 225211215116651
BaseRepresentation
bin11100010101010110…
…101100100000110100
32220112020022200001001
4130111112230200310
5444301244321400
621550503213044
72124624406513
oct342526544064
986466280031
1030423042100
11119a2017900
125a90747184
132b3ac13679
1416886ca67a
15bd0d3ea6a
hex7155ac834

30423042100 has 108 divisors (see below), whose sum is σ = 73050192544. Its totient is φ = 10989000000.

The previous prime is 30423042071. The next prime is 30423042109. The reversal of 30423042100 is 124032403.

It is a super-2 number, since 2×304230421002 (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 (30423042109) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1818775 + ... + 1835425.

Almost surely, 230423042100 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 30423042100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36525096272).

30423042100 is an abundant number, since it is smaller than the sum of its proper divisors (42627150444).

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

30423042100 is a wasteful number, since it uses less digits than its factorization.

30423042100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16838 (or 16820 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 30423042100 its reverse (124032403), we get a palindrome (30547074503).

The spelling of 30423042100 in words is "thirty billion, four hundred twenty-three million, forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 151 220 242 275 302 484 550 604 605 755 1100 1210 1510 1661 2420 3020 3025 3322 3775 6050 6644 7550 8305 12100 15100 16610 16651 18271 33220 33302 36542 41525 66604 73084 83050 83255 91355 166100 166510 182710 183161 333020 365420 366322 416275 456775 732644 832550 913550 915805 1665100 1827100 1831610 2014771 2514301 3663220 4029542 4579025 5028602 8059084 9158050 10057204 10073855 12571505 18316100 20147710 25143010 27657311 40295420 50286020 50369275 55314622 62857525 100738550 110629244 125715050 138286555 201477100 251430100 276573110 304230421 553146220 608460842 691432775 1216921684 1382865550 1521152105 2765731100 3042304210 6084608420 7605760525 15211521050 30423042100