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21310230122112 = 2731091792844313
BaseRepresentation
bin1001101100001101011001…
…01100100100111010000000
32210110020102120121000012110
410312012230230210322000
510243121322402401422
6113153441244455320
74326420240220221
oct466065454447200
983406376530173
1021310230122112
1168766883903a8
122482094b4a540
13bb771396b369
145395c634d248
1526e4dbe7360c
hex1361acb24e80

21310230122112 has 128 divisors (see below), whose sum is σ = 57443765544000. Its totient is φ = 6998918897664.

The previous prime is 21310230122039. The next prime is 21310230122141. The reversal of 21310230122112 is 21122103201312.

It is a tau number, because it is divible by the number of its divisors (128).

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, 6070068 + ... + 8914380.

Almost surely, 221310230122112 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 21310230122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28721882772000).

21310230122112 is an abundant number, since it is smaller than the sum of its proper divisors (36133535421888).

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

21310230122112 is a wasteful number, since it uses less digits than its factorization.

21310230122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2844618 (or 2844606 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 21310230122112 its reverse (21122103201312), we get a palindrome (42432333323424).

The spelling of 21310230122112 in words is "twenty-one trillion, three hundred ten billion, two hundred thirty million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 109 128 179 192 218 327 358 384 436 537 654 716 872 1074 1308 1432 1744 2148 2616 2864 3488 4296 5232 5728 6976 8592 10464 11456 13952 17184 19511 20928 22912 34368 39022 41856 58533 68736 78044 117066 156088 234132 312176 468264 624352 936528 1248704 1873056 2497408 2844313 3746112 5688626 7492224 8532939 11377252 17065878 22754504 34131756 45509008 68263512 91018016 136527024 182036032 273054048 310030117 364072064 509132027 546108096 620060234 930090351 1018264054 1092216192 1240120468 1527396081 1860180702 2036528108 2480240936 3054792162 3720361404 4073056216 4960481872 6109584324 7440722808 8146112432 9920963744 12219168648 14881445616 16292224864 19841927488 24438337296 29762891232 32584449728 39683854976 48876674592 55495390943 59525782464 65168899456 97753349184 110990781886 119051564928 166486172829 195506698368 221981563772 332972345658 443963127544 665944691316 887926255088 1331889382632 1775852510176 2663778765264 3551705020352 5327557530528 7103410040704 10655115061056 21310230122112