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102220303311 = 3273101327853
BaseRepresentation
bin101111100110011001…
…1100000101111001111
3100202211220112102210200
41133030303200233033
53133321344201221
6114543115504543
710246054146000
oct1371463405717
9322756472720
10102220303311
113a395772915
1217989458153
1398407cc599
144d39ca51a7
1529d4117426
hex17ccce0bcf

102220303311 has 48 divisors (see below), whose sum is σ = 173893761600. Its totient is φ = 57833092800.

The previous prime is 102220303177. The next prime is 102220303321. The reversal of 102220303311 is 113303022201.

102220303311 is a `hidden beast` number, since 10 + 22 + 20 + 303 + 311 = 666.

It is not a de Polignac number, because 102220303311 - 213 = 102220295119 is a prime.

It is a super-3 number, since 3×1022203033113 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102220303321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 147861 + ... + 475713.

It is an arithmetic number, because the mean of its divisors is an integer number (3622786700).

Almost surely, 2102220303311 is an apocalyptic number.

102220303311 is a deficient number, since it is larger than the sum of its proper divisors (71673458289).

102220303311 is a wasteful number, since it uses less digits than its factorization.

102220303311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327981 (or 327964 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 102220303311 its reverse (113303022201), we get a palindrome (215523325512).

The spelling of 102220303311 in words is "one hundred two billion, two hundred twenty million, three hundred three thousand, three hundred eleven".

Divisors: 1 3 7 9 21 49 63 101 147 303 343 441 707 909 1029 2121 3087 4949 6363 14847 34643 44541 103929 311787 327853 983559 2294971 2950677 6884913 16064797 20654739 33113153 48194391 99339459 112453579 144583173 231792071 298018377 337360737 695376213 1012082211 1622544497 2086128639 4867633491 11357811479 14602900473 34073434437 102220303311