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21300132322032 = 2431815849419161
BaseRepresentation
bin1001101011111010100101…
…10100100001101011110000
32210102021100211210121120220
410311331102310201223300
510242440132333301112
6113145051245533040
74325612064304644
oct465752264415360
983367324717526
1021300132322032
116872376447783
122480137274180
13bb679492a825
14538d0920cc24
1526e0ea6e798c
hex135f52d21af0

21300132322032 has 80 divisors (see below), whose sum is σ = 55338940893600. Its totient is φ = 7059593318400.

The previous prime is 21300132321997. The next prime is 21300132322087. The reversal of 21300132322032 is 23022323100312.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 21300132321993 and 21300132322011.

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 15 ways as a sum of consecutive naturals, for example, 50606532 + ... + 51025692.

It is an arithmetic number, because the mean of its divisors is an integer number (691736761170).

Almost surely, 221300132322032 is an apocalyptic number.

It is an amenable number.

21300132322032 is an abundant number, since it is smaller than the sum of its proper divisors (34038808571568).

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

21300132322032 is a wasteful number, since it uses less digits than its factorization.

21300132322032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425202 (or 425196 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 21300132322032 its reverse (23022323100312), we get a palindrome (44322455422344).

The spelling of 21300132322032 in words is "twenty-one trillion, three hundred billion, one hundred thirty-two million, three hundred twenty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 181 362 543 724 1086 1448 2172 2896 4344 5849 8688 11698 17547 23396 35094 46792 70188 93584 140376 280752 419161 838322 1058669 1257483 1676644 2117338 2514966 3176007 3353288 4234676 5029932 6352014 6706576 8469352 10059864 12704028 16938704 20119728 25408056 50816112 75868141 151736282 227604423 303472564 455208846 606945128 910417692 1213890256 1820835384 2451672689 3641670768 4903345378 7355018067 9806690756 14710036134 19613381512 29420072268 39226763024 58840144536 117680289072 443752756709 887505513418 1331258270127 1775011026836 2662516540254 3550022053672 5325033080508 7100044107344 10650066161016 21300132322032