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1001001100022 = 27311278947563
BaseRepresentation
bin11101001000100000101…
…00001010001011110110
310112200202111011120112122
432210100110022023312
5112400022240200042
62043504211315542
7132214511651000
oct16442024121366
93480674146478
101001001100022
11356582030190
121420012abbb2
13735177cc611
143663d39d370
151b0895b37d2
hexe91050a2f6

1001001100022 has 64 divisors (see below), whose sum is σ = 1910931264000. Its totient is φ = 389852396640.

The previous prime is 1001001100003. The next prime is 1001001100027. The reversal of 1001001100022 is 2200011001001.

It is a junction number, because it is equal to n+sod(n) for n = 1001001099982 and 1001001100009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001001100027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21022013 + ... + 21069575.

It is an arithmetic number, because the mean of its divisors is an integer number (29858301000).

Almost surely, 21001001100022 is an apocalyptic number.

1001001100022 is a deficient number, since it is larger than the sum of its proper divisors (909930163978).

1001001100022 is a wasteful number, since it uses less digits than its factorization.

1001001100022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50386 (or 50372 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1001001100022 its reverse (2200011001001), we get a palindrome (3201012101023).

The spelling of 1001001100022 in words is "one trillion, one billion, one million, one hundred thousand, twenty-two".

Divisors: 1 2 7 11 14 22 49 77 98 154 343 539 686 1078 2789 3773 5578 7546 19523 30679 39046 47563 61358 95126 136661 214753 273322 332941 429506 523193 665882 956627 1046386 1503271 1913254 2330587 3006542 3662351 4661174 7324702 10522897 16314109 21045794 25636457 32628218 51272914 132653207 179455199 265306414 358910398 928572449 1459185277 1857144898 2918370554 6500007143 10214296939 13000014286 20428593878 45500050001 71500078573 91000100002 143000157146 500500550011 1001001100022