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20001120111021 = 37194713113958573
BaseRepresentation
bin1001000110000110111111…
…01010001100100110101101
32121211002101110011001010010
410203003133222030212231
510110144243222023041
6110312215430003433
74133014254555450
oct443033752144655
977732343131103
1020001120111021
116411477969025
1222b04267a6579
13b2113638651a
144d20b8d13497
1524a41d390a16
hex1230dfa8c9ad

20001120111021 has 128 divisors (see below), whose sum is σ = 33252787814400. Its totient is φ = 10440566772480.

The previous prime is 20001120111019. The next prime is 20001120111067. The reversal of 20001120111021 is 12011102110002.

It is not a de Polignac number, because 20001120111021 - 21 = 20001120111019 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20001120110988 and 20001120111006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20001120111001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 341444091 + ... + 341502663.

It is an arithmetic number, because the mean of its divisors is an integer number (259787404800).

Almost surely, 220001120111021 is an apocalyptic number.

20001120111021 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20001120111021 is a deficient number, since it is larger than the sum of its proper divisors (13251667703379).

20001120111021 is a wasteful number, since it uses less digits than its factorization.

20001120111021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58919.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 20001120111021 its reverse (12011102110002), we get a palindrome (32012222221023).

The spelling of 20001120111021 in words is "twenty trillion, one billion, one hundred twenty million, one hundred eleven thousand, twenty-one".

Divisors: 1 3 7 19 21 47 57 131 133 139 141 329 393 399 417 893 917 973 987 2489 2641 2679 2751 2919 6157 6251 6533 7467 7923 17423 18209 18471 18487 18753 19599 43099 45731 52269 54627 55461 58573 116983 124127 127463 129297 137193 175719 345971 350949 372381 382389 410011 818881 855823 868889 1037913 1112887 1230033 2421797 2456643 2567469 2606667 2752931 3338661 5990761 7265391 7673063 7790209 8141647 8258793 16260637 17972283 19270517 23019189 23370627 24424941 48781911 52305689 53711441 56991529 57811551 113824459 145788197 154691293 156917067 161134323 170974587 341473377 360633961 366139823 382657409 437364591 464073879 1020517379 1066555757 1081901883 1082839051 1098419469 1147972227 2524437727 2678601863 3061552137 3199667271 3248517153 6852045259 7270490771 7465890299 7573313181 8035805589 20264559383 20556135777 21811472313 22397670897 47964316813 50128120579 50893435397 60793678149 141851915681 143892950439 150384361737 152680306191 350896844053 425555747043 952434291001 1052690532159 2857302873003 6667040037007 20001120111021