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21310222313000 = 2353171845167939
BaseRepresentation
bin1001101100001101011000…
…01110110010011000101000
32210110020102000220021010002
410312012230032302120220
510243121313403004000
6113153440405242132
74326420113644145
oct466065416623050
983406360807102
1021310222313000
116876683a37295
122482092403348
13bb7712165a9a
145395c52b93cc
1526e4db42e8d5
hex1361ac3b2628

21310222313000 has 128 divisors (see below), whose sum is σ = 52802848425600. Its totient is φ = 8022119040000.

The previous prime is 21310222312997. The next prime is 21310222313011. The reversal of 21310222313000 is 31322201312.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 313633031 + ... + 313700969.

It is an arithmetic number, because the mean of its divisors is an integer number (412522253325).

Almost surely, 221310222313000 is an apocalyptic number.

21310222313000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21310222313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26401424212800).

21310222313000 is an abundant number, since it is smaller than the sum of its proper divisors (31492626112600).

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

21310222313000 is a wasteful number, since it uses less digits than its factorization.

21310222313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86428 (or 86414 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 21310222313000 its reverse (31322201312), we get a palindrome (21341544514312).

The spelling of 21310222313000 in words is "twenty-one trillion, three hundred ten billion, two hundred twenty-two million, three hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 340 425 500 680 850 1000 1700 2125 3400 4250 8500 17000 18451 36902 67939 73804 92255 135878 147608 184510 271756 313667 339695 369020 461275 543512 627334 679390 738040 922550 1154963 1254668 1358780 1568335 1698475 1845100 2306375 2309926 2509336 2717560 3136670 3396950 3690200 4612750 4619852 5774815 6273340 6793900 7841675 8492375 9225500 9239704 11549630 12546680 13587800 15683350 16984750 18451000 23099260 28874075 31366700 33969500 39208375 46198520 57748150 62733400 67939000 78416750 115496300 144370375 156833500 230992600 288740750 313667000 577481500 1154963000 1253542489 2507084978 5014169956 6267712445 10028339912 12535424890 21310222313 25070849780 31338562225 42620444626 50141699560 62677124450 85240889252 106551111565 125354248900 156692811125 170481778504 213102223130 250708497800 313385622250 426204446260 532755557825 626771244500 852408892520 1065511115650 1253542489000 2131022231300 2663777789125 4262044462600 5327555578250 10655111156500 21310222313000