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30442121332 = 2273779431863
BaseRepresentation
bin11100010110011111…
…011110100001110100
32220120120012222211021
4130112133132201310
5444321140340312
621552424150524
72125245522220
oct342637364164
986516188737
1030442121332
1111a01869367
125a97008444
132b41b6395c
14168b055780
15bd285cc07
hex7167de874

30442121332 has 96 divisors (see below), whose sum is σ = 63541739520. Its totient is φ = 12489759360.

The previous prime is 30442121327. The next prime is 30442121341. The reversal of 30442121332 is 23312124403.

It is a junction number, because it is equal to n+sod(n) for n = 30442121297 and 30442121306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35274333 + ... + 35275195.

It is an arithmetic number, because the mean of its divisors is an integer number (661893120).

Almost surely, 230442121332 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 30442121332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31770869760).

30442121332 is an abundant number, since it is smaller than the sum of its proper divisors (33099618188).

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

30442121332 is a wasteful number, since it uses less digits than its factorization.

30442121332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1421 (or 1419 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 30442121332 its reverse (23312124403), we get a palindrome (53754245735).

The spelling of 30442121332 in words is "thirty billion, four hundred forty-two million, one hundred twenty-one thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 28 37 74 79 148 158 259 316 431 518 553 862 863 1036 1106 1724 1726 2212 2923 3017 3452 5846 6034 6041 11692 12068 12082 15947 20461 24164 31894 31931 34049 40922 63788 63862 68098 68177 81844 111629 127724 136196 136354 223258 223517 238343 272708 371953 446516 447034 476686 477239 743906 894068 953372 954478 1259813 1487812 1908956 2519626 2522549 2603671 5039252 5045098 5207342 8818691 10090196 10414684 13762261 17637382 17657843 27524522 29384287 35274764 35315686 55049044 58768574 70631372 96335827 117537148 192671654 205690009 385343308 411380018 822760036 1087218619 2174437238 4348874476 7610530333 15221060666 30442121332