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20121331103202 = 2373734765357143
BaseRepresentation
bin1001001001100110111001…
…10010101111010111100010
32122020120200011100011110210
410210303130302233113202
510114131441230300302
6110443340100434550
74144501225256430
oct444633462572742
978216604304423
1020121331103202
11645845493374a
12230b7950a8a56
13b2c5831a6224
144d7c4029dd50
1524d606b2266c
hex124cdccaf5e2

20121331103202 has 128 divisors (see below), whose sum is σ = 47444126920704. Its totient is φ = 5568816123648.

The previous prime is 20121331103189. The next prime is 20121331103267. The reversal of 20121331103202 is 20230113312102.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 352093843 + ... + 352150985.

It is an arithmetic number, because the mean of its divisors is an integer number (370657241568).

Almost surely, 220121331103202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20121331103202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23722063460352).

20121331103202 is an abundant number, since it is smaller than the sum of its proper divisors (27322795817502).

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

20121331103202 is a wasteful number, since it uses less digits than its factorization.

20121331103202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58192.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 20121331103202 its reverse (20230113312102), we get a palindrome (40351444415304).

The spelling of 20121331103202 in words is "twenty trillion, one hundred twenty-one billion, three hundred thirty-one million, one hundred three thousand, two hundred two".

Divisors: 1 2 3 6 7 14 21 37 42 74 111 222 259 347 518 653 694 777 1041 1306 1554 1959 2082 2429 3918 4571 4858 7287 9142 12839 13713 14574 24161 25678 27426 38517 48322 57143 72483 77034 89873 114286 144966 169127 171429 179746 226591 269619 338254 342858 400001 453182 507381 539238 679773 800002 1014762 1200003 1359546 1586137 2114291 2400006 3172274 4228582 4758411 6342873 8383867 9516822 12685746 14800037 16767734 19828621 25151601 29600074 37314379 39657242 44400111 50303202 58687069 59485863 74628758 88800222 111943137 117374138 118971726 138800347 176061207 223886274 261200653 277600694 352122414 416401041 522401306 733658977 783601959 832802082 1380632023 1467317954 1567203918 2200976931 2761264046 4141896069 4401953862 5135612839 8283792138 9664424161 10271225678 12948089513 15406838517 19328848322 25896179026 28993272483 30813677034 38844268539 57986544966 77688537078 90636626591 181273253182 271909879773 479079311981 543819759546 958158623962 1437237935943 2874475871886 3353555183867 6707110367734 10060665551601 20121331103202