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30430410321332 = 22721961331332371
BaseRepresentation
bin1101110101101001000011…
…10011000010110110110100
310222202010012121122111220102
412322310201303002312310
512442032440020240312
6144415312034053232
76260344635636200
oct672644163026664
9128663177574812
1030430410321332
119772512341a1a
1234b574aa1a218
1313c9763158b68
14772ba8287b00
1537b87134cec2
hex1bad21cc2db4

30430410321332 has 72 divisors (see below), whose sum is σ = 65218703387040. Its totient is φ = 12353180374080.

The previous prime is 30430410321319. The next prime is 30430410321373. The reversal of 30430410321332 is 23312301403403.

It is a junction number, because it is equal to n+sod(n) for n = 30430410321295 and 30430410321304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22173107 + ... + 23505477.

It is an arithmetic number, because the mean of its divisors is an integer number (905815324820).

Almost surely, 230430410321332 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 30430410321332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32609351693520).

30430410321332 is an abundant number, since it is smaller than the sum of its proper divisors (34788293065708).

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

30430410321332 is a wasteful number, since it uses less digits than its factorization.

30430410321332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338541 (or 1338532 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 29.

Adding to 30430410321332 its reverse (23312301403403), we get a palindrome (53742711724735).

The spelling of 30430410321332 in words is "thirty trillion, four hundred thirty billion, four hundred ten million, three hundred twenty-one thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 19 28 38 49 76 98 133 196 266 532 931 1862 3724 6133 12266 24532 42931 85862 116527 171724 233054 300517 466108 601034 815689 1202068 1332371 1631378 2664742 3262756 5329484 5709823 9326597 11419646 18653194 22839292 25315049 37306388 50630098 65286179 101260196 130572358 177205343 261144716 354410686 708821372 1240437401 2480874802 4961749604 8171431343 16342862686 32685725372 57200019401 114400038802 155257195517 228800077604 310514391034 400400135807 621028782068 800800271614 1086800368619 1601600543228 2173600737238 4347201474476 7607602580333 15215205160666 30430410321332