Search a number
-
+
20002002220011 = 3731715154113997
BaseRepresentation
bin1001000110001000101000…
…01111001011001111101011
32121211011122220222211011110
410203010110033023033223
510110203100032020021
6110312443140401403
74133045155431000
oct443042417131753
977734586884143
1020002002220011
11641188a890619
1222b06320a6263
13b212470576c6
144d21601338a7
1524a470a36476
hex1231143cb3eb

20002002220011 has 128 divisors (see below), whose sum is σ = 33212483481600. Its totient is φ = 10665623808000.

The previous prime is 20002002219971. The next prime is 20002002220043. The reversal of 20002002220011 is 11002220020002.

It is not a de Polignac number, because 20002002220011 - 27 = 20002002219883 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20002002210011) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1429013665 + ... + 1429027661.

It is an arithmetic number, because the mean of its divisors is an integer number (259472527200).

Almost surely, 220002002220011 is an apocalyptic number.

20002002220011 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

20002002220011 is a deficient number, since it is larger than the sum of its proper divisors (13210481261589).

20002002220011 is a wasteful number, since it uses less digits than its factorization.

20002002220011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14730 (or 14716 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 20002002220011 its reverse (11002220020002), we get a palindrome (31004222240013).

The spelling of 20002002220011 in words is "twenty trillion, two billion, two million, two hundred twenty thousand, eleven".

Divisors: 1 3 7 17 21 49 51 119 147 151 343 357 453 541 833 1029 1057 1623 2499 2567 3171 3787 5831 7399 7701 9197 11361 13997 17493 17969 22197 26509 27591 41991 51793 53907 64379 79527 81691 97979 125783 155379 185563 193137 237949 245073 293937 377349 450653 556689 571837 685853 713847 880481 1351959 1388747 1665643 1715511 2057559 2113547 2641443 3154571 4002859 4166241 4800971 4996929 6340641 7572377 9463713 9721229 11659501 12008577 14402913 14794829 22717131 28020013 29163687 34978503 35930299 44384487 53006639 68048603 81616507 84060039 103563803 107790897 128730409 159019917 204145809 244849521 251512093 310691409 371046473 386191227 476340221 724946621 754536279 901112863 1113139419 1143428927 1429020663 1760584651 2174839863 2597325311 2703338589 3430286781 5281753953 6307790041 7791975933 8004002489 12324092557 18923370123 19438291759 24012007467 36972277671 44154530287 56028017423 58314875277 132463590861 136068042313 168084052269 392196121961 408204126939 952476296191 1176588365883 2857428888573 6667334073337 20002002220011