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21304333340312 = 23117313724207049
BaseRepresentation
bin1001101100000010011010…
…01110001000111010011000
32210102200012121202110021112
410312001031032020322120
510243022233313342222
6113151024200155452
74326121145336441
oct466011516107230
983380177673245
1021304333340312
116874131849a10
122480b0a168b88
13bb6cb40a1b69
145391c712c2c8
1526e294428be2
hex13604d388e98

21304333340312 has 64 divisors (see below), whose sum is σ = 44496431028000. Its totient is φ = 9481416560640.

The previous prime is 21304333340273. The next prime is 21304333340363.

21304333340312 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11223437 + ... + 12983612.

Almost surely, 221304333340312 is an apocalyptic number.

21304333340312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21304333340312 is an abundant number, since it is smaller than the sum of its proper divisors (23192097687688).

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

21304333340312 is a wasteful number, since it uses less digits than its factorization.

21304333340312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24207276 (or 24207272 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 32.

It can be divided in two parts, 2130433 and 3340312, that added together give a palindrome (5470745).

The spelling of 21304333340312 in words is "twenty-one trillion, three hundred four billion, three hundred thirty-three million, three hundred forty thousand, three hundred twelve".

Divisors: 1 2 4 8 11 22 44 73 88 137 146 274 292 548 584 803 1096 1507 1606 3014 3212 6028 6424 10001 12056 20002 40004 80008 110011 220022 440044 880088 24207049 48414098 96828196 193656392 266277539 532555078 1065110156 1767114577 2130220312 3316365713 3534229154 6632731426 7068458308 13265462852 14136916616 19438260347 26530925704 36480022843 38876520694 72960045686 77753041388 145920091372 155506082776 242094697049 291840182744 484189394098 968378788196 1936757576392 2663041667539 5326083335078 10652166670156 21304333340312