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305211431124 = 223261140998641
BaseRepresentation
bin1000111000100000000…
…01001101100011010100
31002011210201011011021200
410130100001031203110
520000033111243444
6352113500112500
731023265234155
oct4342001154324
91064721134250
10305211431124
11108491994676
124b19a835730
1322a20717872
1410ab531d92c
157e14e7b969
hex471004d8d4

305211431124 has 72 divisors (see below), whose sum is σ = 784718811240. Its totient is φ = 99997286400.

The previous prime is 305211431117. The next prime is 305211431141. The reversal of 305211431124 is 421134112503.

305211431124 is a `hidden beast` number, since 3 + 0 + 5 + 211 + 431 + 12 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11306494224 + 293904936900 = 106332^2 + 542130^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3044844 + ... + 3143484.

Almost surely, 2305211431124 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 305211431124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392359405620).

305211431124 is an abundant number, since it is smaller than the sum of its proper divisors (479507380116).

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

305211431124 is a wasteful number, since it uses less digits than its factorization.

305211431124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100121 (or 100116 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 305211431124 its reverse (421134112503), we get a palindrome (726345543627).

The spelling of 305211431124 in words is "three hundred five billion, two hundred eleven million, four hundred thirty-one thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 366 549 732 1098 1409 2196 2818 4227 5636 8454 12681 16908 25362 50724 85949 98641 171898 197282 257847 295923 343796 394564 515694 591846 773541 887769 1031388 1183692 1547082 1775538 3094164 3551076 6017101 12034202 18051303 24068404 36102606 54153909 72205212 108307818 138985169 216615636 277970338 416955507 555940676 833911014 1250866521 1667822028 2501733042 5003466084 8478095309 16956190618 25434285927 33912381236 50868571854 76302857781 101737143708 152605715562 305211431124