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2124432030 = 2357172325873
BaseRepresentation
bin111111010100000…
…0100001010011110
312111001111022212210
41332220010022132
513322323311110
6550445541250
7103434242250
oct17650041236
95431438783
102124432030
119a0206256
124b3574826
1327b193696
14162209cd0
15c6791520
hex7ea0429e

2124432030 has 128 divisors (see below), whose sum is σ = 6438279168. Its totient is φ = 437133312.

The previous prime is 2124432029. The next prime is 2124432059. The reversal of 2124432030 is 302344212.

It is a super-2 number, since 2×21244320302 = 9026422900179841800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 2124431988 and 2124432006.

It is a congruent number.

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, 69174 + ... + 95046.

It is an arithmetic number, because the mean of its divisors is an integer number (50299056).

Almost surely, 22124432030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2124432030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3219139584).

2124432030 is an abundant number, since it is smaller than the sum of its proper divisors (4313847138).

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

2124432030 is a wasteful number, since it uses less digits than its factorization.

2124432030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25930.

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 2124432030 is about 46091.5613751585. The cubic root of 2124432030 is about 1285.5262430987.

Adding to 2124432030 its reverse (302344212), we get a palindrome (2426776242).

The spelling of 2124432030 in words is "two billion, one hundred twenty-four million, four hundred thirty-two thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 23 30 34 35 42 46 51 69 70 85 102 105 115 119 138 161 170 210 230 238 255 322 345 357 391 483 510 595 690 714 782 805 966 1173 1190 1610 1785 1955 2346 2415 2737 3570 3910 4830 5474 5865 8211 11730 13685 16422 25873 27370 41055 51746 77619 82110 129365 155238 181111 258730 362222 388095 439841 543333 595079 776190 879682 905555 1086666 1190158 1319523 1785237 1811110 2199205 2639046 2716665 2975395 3078887 3570474 4165553 4398410 5433330 5950790 6157774 6597615 8331106 8926185 9236661 10116343 12496659 13195230 15394435 17852370 18473322 20232686 20827765 24993318 30349029 30788870 41655530 46183305 50581715 60698058 62483295 70814401 92366610 101163430 124966590 141628802 151745145 212443203 303490290 354072005 424886406 708144010 1062216015 2124432030