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1363630312220 = 22511101173354737
BaseRepresentation
bin10011110101111110101…
…100110100101100011100
311211100202202000020010112
4103311332230310230130
5134320203324442340
62522235414025152
7200343013256621
oct23657654645434
94740682006115
101363630312220
11486348841590
121a03450481b8
139b7889b8867
144a00023c348
1525710226065
hex13d7eb34b1c

1363630312220 has 96 divisors (see below), whose sum is σ = 3173128572096. Its totient is φ = 488116736000.

The previous prime is 1363630312201. The next prime is 1363630312229. The reversal of 1363630312220 is 222130363631.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1363630312229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3666692 + ... + 4021428.

It is an arithmetic number, because the mean of its divisors is an integer number (33053422626).

Almost surely, 21363630312220 is an apocalyptic number.

1363630312220 is a gapful number since it is divisible by the number (10) 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 1363630312220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1586564286048).

1363630312220 is an abundant number, since it is smaller than the sum of its proper divisors (1809498259876).

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

1363630312220 is a wasteful number, since it uses less digits than its factorization.

1363630312220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355031 (or 355029 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 32.

Adding to 1363630312220 its reverse (222130363631), we get a palindrome (1585760675851).

The spelling of 1363630312220 in words is "one trillion, three hundred sixty-three billion, six hundred thirty million, three hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 173 202 220 346 404 505 692 865 1010 1111 1730 1903 2020 2222 3460 3806 4444 5555 7612 9515 11110 17473 19030 22220 34946 38060 69892 87365 174730 192203 349460 354737 384406 709474 768812 961015 1418948 1773685 1922030 3547370 3844060 3902107 7094740 7804214 15608428 19510535 35828437 39021070 61369501 71656874 78042140 122739002 143313748 179142185 245478004 306847505 358284370 394112807 613695010 675064511 716568740 788225614 1227390020 1350129022 1576451228 1970564035 2700258044 3375322555 3941128070 6198319601 6750645110 7882256140 12396639202 13501290220 24793278404 30991598005 61983196010 68181515611 123966392020 136363031222 272726062444 340907578055 681815156110 1363630312220