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1144032111220 = 2251921271247663
BaseRepresentation
bin10000101001011101101…
…000001010101001110100
311001100221120020202222211
4100221131220022221310
5122220434210024340
62233321110303204
7145440116332435
oct20513550125164
94040846222884
101144032111220
114011aa335959
1216587a057b04
1383b6031315b
143d52b38748c
151eb5b4525ea
hex10a5da0aa74

1144032111220 has 72 divisors (see below), whose sum is σ = 2555535273984. Its totient is φ = 430114007232.

The previous prime is 1144032111199. The next prime is 1144032111311. The reversal of 1144032111220 is 221112304411.

It is a junction number, because it is equal to n+sod(n) for n = 1144032111191 and 1144032111200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 293109 + ... + 1540771.

It is an arithmetic number, because the mean of its divisors is an integer number (35493545472).

Almost surely, 21144032111220 is an apocalyptic number.

1144032111220 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 1144032111220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1277767636992).

1144032111220 is an abundant number, since it is smaller than the sum of its proper divisors (1411503162764).

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

1144032111220 is a wasteful number, since it uses less digits than its factorization.

1144032111220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1247837 (or 1247816 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 1144032111220 its reverse (221112304411), we get a palindrome (1365144415631).

The spelling of 1144032111220 in words is "one trillion, one hundred forty-four billion, thirty-two million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 127 190 254 361 380 508 635 722 1270 1444 1805 2413 2540 3610 4826 7220 9652 12065 24130 45847 48260 91694 183388 229235 458470 916940 1247663 2495326 4990652 6238315 12476630 23705597 24953260 47411194 94822388 118527985 158453201 237055970 316906402 450406343 474111940 633812804 792266005 900812686 1584532010 1801625372 2252031715 3010610819 3169064020 4504063430 6021221638 9008126860 12042443276 15053054095 30106108190 57201605561 60212216380 114403211122 228806422244 286008027805 572016055610 1144032111220