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1013441222130 = 235677117534051
BaseRepresentation
bin11101011111101011100…
…11011101010111110010
310120212212110110020220220
432233311303131113302
5113101011423102010
62053322442313510
7133135006153401
oct16576563352762
93525773406826
101013441222130
11360886171037
121444b34b8896
137474abb2a0c
143709d627638
151b5667c0970
hexebf5cdd5f2

1013441222130 has 128 divisors (see below), whose sum is σ = 2505376106496. Its totient is φ = 262253376000.

The previous prime is 1013441222099. The next prime is 1013441222141. The reversal of 1013441222130 is 312221443101.

It is a super-2 number, since 2×10134412221302 (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 1013441222130.

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, 250168605 + ... + 250172655.

It is an arithmetic number, because the mean of its divisors is an integer number (19573250832).

Almost surely, 21013441222130 is an apocalyptic number.

1013441222130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1013441222130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1252688053248).

1013441222130 is an abundant number, since it is smaller than the sum of its proper divisors (1491934884366).

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

1013441222130 is a wasteful number, since it uses less digits than its factorization.

1013441222130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5952.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 1013441222130 its reverse (312221443101), we get a palindrome (1325662665231).

The spelling of 1013441222130 in words is "one trillion, thirteen billion, four hundred forty-one million, two hundred twenty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 67 71 134 142 201 213 335 355 402 426 670 710 1005 1065 1753 2010 2130 3506 4051 4757 5259 8102 8765 9514 10518 12153 14271 17530 20255 23785 24306 26295 28542 40510 47570 52590 60765 71355 117451 121530 124463 142710 234902 248926 271417 287621 352353 373389 542834 575242 587255 622315 704706 746778 814251 862863 1174510 1244630 1357085 1438105 1628502 1725726 1761765 1866945 2714170 2876210 3523530 3733890 4071255 4314315 7101403 8142510 8339021 8628630 14202806 16678042 19270607 21304209 25017063 35507015 38541214 41695105 42608418 50034126 57811821 71014030 83390210 96353035 106521045 115623642 125085315 192706070 213042090 250170630 289059105 475794001 504199613 578118210 951588002 1008399226 1427382003 1512598839 2378970005 2520998065 2854764006 3025197678 4757940010 5041996130 7136910015 7562994195 14273820030 15125988390 33781374071 67562748142 101344122213 168906870355 202688244426 337813740710 506720611065 1013441222130