Search a number
-
+
1001222021020 = 2251324140139847
BaseRepresentation
bin11101001000111010111…
…10111001111110011100
310112201022212212112011211
432210131132321332130
5112401000314133040
62043542142354204
7132223133521354
oct16443536717634
93481285775154
101001222021020
11356685802421
1214206328b964
13735515002c0
1436660869b64
151b09dba18ea
hexe91d7b9f9c

1001222021020 has 96 divisors (see below), whose sum is σ = 2279424825216. Its totient is φ = 367220736000.

The previous prime is 1001222021011. The next prime is 1001222021053. The reversal of 1001222021020 is 201202221001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25106737 + ... + 25146583.

It is an arithmetic number, because the mean of its divisors is an integer number (23744008596).

Almost surely, 21001222021020 is an apocalyptic number.

1001222021020 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 1001222021020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1139712412608).

1001222021020 is an abundant number, since it is smaller than the sum of its proper divisors (1278202804196).

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

1001222021020 is a wasteful number, since it uses less digits than its factorization.

1001222021020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40511 (or 40509 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 1001222021020 its reverse (201202221001), we get a palindrome (1202424242021).

The spelling of 1001222021020 in words is "one trillion, one billion, two hundred twenty-two million, twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 241 260 401 482 802 964 1205 1604 2005 2410 3133 4010 4820 5213 6266 8020 10426 12532 15665 20852 26065 31330 39847 52130 62660 79694 96641 104260 159388 193282 199235 386564 398470 483205 518011 796940 966410 1036022 1256333 1932820 2072044 2512666 2590055 5025332 5180110 6281665 9603127 10360220 12563330 15978647 19206254 25126660 31957294 38412508 48015635 63914588 79893235 96031270 124840651 159786470 192062540 207722411 249681302 319572940 415444822 499362604 624203255 830889644 1038612055 1248406510 2077224110 2496813020 3850853927 4154448220 7701707854 15403415708 19254269635 38508539270 50061101051 77017078540 100122202102 200244404204 250305505255 500611010510 1001222021020