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1310000442224 = 2419127181187463
BaseRepresentation
bin10011000100000010000…
…111000110101101110000
311122020100011221112222012
4103010002013012231300
5132430340103122344
62441450023502052
7163434014014535
oct23040207065560
94566304845865
101310000442224
11465628109481
12191a785b7928
13966bcc0ac86
14475937c4d8c
1524121d6e29e
hex131021c6b70

1310000442224 has 80 divisors (see below), whose sum is σ = 2707640033280. Its totient is φ = 612235895040.

The previous prime is 1310000442217. The next prime is 1310000442251. The reversal of 1310000442224 is 4222440000131.

It is a super-2 number, since 2×13100004422242 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1310000442224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6894317 + ... + 7081779.

It is an arithmetic number, because the mean of its divisors is an integer number (33845500416).

Almost surely, 21310000442224 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 1310000442224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1353820016640).

1310000442224 is an abundant number, since it is smaller than the sum of its proper divisors (1397639591056).

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

1310000442224 is a wasteful number, since it uses less digits than its factorization.

1310000442224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187798 (or 187792 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 1310000442224 its reverse (4222440000131), we get a palindrome (5532440442355).

The spelling of 1310000442224 in words is "one trillion, three hundred ten billion, four hundred forty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 19 38 76 127 152 181 254 304 362 508 724 1016 1448 2032 2413 2896 3439 4826 6878 9652 13756 19304 22987 27512 38608 45974 55024 91948 183896 187463 367792 374926 436753 749852 873506 1499704 1747012 2999408 3494024 3561797 6988048 7123594 14247188 23807801 28494376 33930803 47615602 56988752 67861606 95231204 135723212 190462408 271446424 380924816 452348219 542892848 644685257 904696438 1289370514 1809392876 2578741028 3618785752 4309211981 5157482056 7237571504 8618423962 10314964112 17236847924 34473695848 68947391696 81875027639 163750055278 327500110556 655000221112 1310000442224