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211020002210101 = 72231135711290141
BaseRepresentation
bin101111111110101111101100…
…010001011011000100110101
31000200011022111202222021211011
4233332233230101123010311
5210124322431031210401
62024445130053512221
762306456241501400
oct5776575421330465
91020138452867734
10211020002210101
1161268097a70807
121b80110b942671
1390991406827c6
143a175cb898d37
15195e1ab79e451
hexbfebec45b135

211020002210101 has 48 divisors (see below), whose sum is σ = 258457862251008. Its totient is φ = 171448507507200.

The previous prime is 211020002210093. The next prime is 211020002210111. The reversal of 211020002210101 is 101012200020112.

It is not a de Polignac number, because 211020002210101 - 23 = 211020002210093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211020002210111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 727156491 + ... + 727446631.

It is an arithmetic number, because the mean of its divisors is an integer number (5384538796896).

Almost surely, 2211020002210101 is an apocalyptic number.

It is an amenable number.

211020002210101 is a deficient number, since it is larger than the sum of its proper divisors (47437860040907).

211020002210101 is a wasteful number, since it uses less digits than its factorization.

211020002210101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296002 (or 295995 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 211020002210101 its reverse (101012200020112), we get a palindrome (312032202230213).

The spelling of 211020002210101 in words is "two hundred eleven trillion, twenty billion, two million, two hundred ten thousand, one hundred one".

Divisors: 1 7 23 49 113 161 791 1127 2599 5537 5711 18193 39977 127351 131353 279839 290141 645343 919471 2030987 4517401 6436297 6673243 14216909 14842889 31621807 32785933 46712701 103900223 229501531 326988907 727301561 754076459 1606510717 1656995251 5278535213 11598966757 36949746491 38110890773 81192767299 187240463363 266776235411 1310683243541 1867433647877 4306530657349 9174782704787 30145714601443 211020002210101