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102001222011 = 313171979102497
BaseRepresentation
bin101111011111110111…
…1110010000101111011
3100202021122021221202110
41132333233302011323
53132344303101021
6114505252103403
710240454040003
oct1367757620573
9322248257673
10102001222011
113a293037897
1217928004b63
1398072c4090
144d18b57003
1529bec8e476
hex17bfbf217b

102001222011 has 64 divisors (see below), whose sum is σ = 165308774400. Its totient is φ = 55259283456.

The previous prime is 102001221967. The next prime is 102001222111. The reversal of 102001222011 is 110222100201.

It is not a de Polignac number, because 102001222011 - 225 = 101967667579 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102001222111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 943915 + ... + 1046411.

It is an arithmetic number, because the mean of its divisors is an integer number (2582949600).

Almost surely, 2102001222011 is an apocalyptic number.

102001222011 is a deficient number, since it is larger than the sum of its proper divisors (63307552389).

102001222011 is a wasteful number, since it uses less digits than its factorization.

102001222011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102628.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102001222011 its reverse (110222100201), we get a palindrome (212223322212).

The spelling of 102001222011 in words is "one hundred two billion, one million, two hundred twenty-two thousand, eleven".

Divisors: 1 3 13 17 19 39 51 57 79 221 237 247 323 663 741 969 1027 1343 1501 3081 4029 4199 4503 12597 17459 19513 25517 52377 58539 76551 102497 307491 331721 995163 1332461 1742449 1947443 3997383 5227347 5842329 8097263 22651837 24291789 25316759 33106531 67955511 75950277 99319593 105264419 137653471 153847997 315793257 412960413 430384903 461543991 1291154709 1789495123 2000023961 2615415949 5368485369 6000071883 7846247847 34000407337 102001222011