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1001222010100 = 2252132975135363
BaseRepresentation
bin11101001000111010111…
…10110111010011110100
310112201022212211222012101
432210131132313103310
5112401000313310400
62043542142231444
7132223133444464
oct16443536672364
93481285758171
101001222010100
113566857a51a4
12142063285584
13735514c8340
1436660865ba4
151b09db9d56a
hexe91d7b74f4

1001222010100 has 144 divisors (see below), whose sum is σ = 2423752369920. Its totient is φ = 356448960000.

The previous prime is 1001222010077. The next prime is 1001222010199. The reversal of 1001222010100 is 10102221001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28295019 + ... + 28330381.

It is an arithmetic number, because the mean of its divisors is an integer number (16831613680).

Almost surely, 21001222010100 is an apocalyptic number.

1001222010100 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 1001222010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211876184960).

1001222010100 is an abundant number, since it is smaller than the sum of its proper divisors (1422530359820).

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

1001222010100 is a wasteful number, since it uses less digits than its factorization.

1001222010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36170 (or 36163 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1001222010100 its reverse (10102221001), we get a palindrome (1011324231101).

The spelling of 1001222010100 in words is "one trillion, one billion, two hundred twenty-two million, ten thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 29 50 52 58 65 100 116 130 145 260 290 325 377 580 650 725 751 754 1300 1450 1502 1508 1885 2900 3004 3755 3770 7510 7540 9425 9763 15020 18775 18850 19526 21779 35363 37550 37700 39052 43558 48815 70726 75100 87116 97630 108895 141452 176815 195260 217790 244075 283127 353630 435580 459719 488150 544475 566254 707260 884075 919438 976300 1025527 1088950 1132508 1415635 1768150 1838876 2051054 2177900 2298595 2831270 3536300 4102108 4597190 5127635 5662540 7078175 9194380 10255270 11492975 13331851 14156350 20510540 22985950 25638175 26557613 26663702 28312700 45971900 51276350 53115226 53327404 66659255 102552700 106230452 132788065 133318510 265576130 266637020 333296275 345248969 531152260 663940325 666592550 690497938 770170777 1327880650 1333185100 1380995876 1540341554 1726244845 2655761300 3080683108 3452489690 3850853885 6904979380 7701707770 8631224225 10012220101 15403415540 17262448450 19254269425 20024440202 34524896900 38508538850 40048880404 50061100505 77017077700 100122201010 200244402020 250305502525 500611005050 1001222010100