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103201022166 = 231111383916493
BaseRepresentation
bin110000000011101000…
…0101010000011010110
3100212101020221010011020
41200013100222003112
53142323430202131
6115224312022010
710312263133434
oct1400720520326
9325336833136
10103201022166
113a849317470
1218001991906
139968a485b8
144dd0233d54
152a4028a996
hex180742a0d6

103201022166 has 64 divisors (see below), whose sum is σ = 227443023360. Its totient is φ = 30957463040.

The previous prime is 103201022143. The next prime is 103201022179. The reversal of 103201022166 is 661220102301.

It is a super-2 number, since 2×1032010221662 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6249016 + ... + 6265508.

It is an arithmetic number, because the mean of its divisors is an integer number (3553797240).

Almost surely, 2103201022166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103201022166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113721511680).

103201022166 is an abundant number, since it is smaller than the sum of its proper divisors (124242001194).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103201022166 is a wasteful number, since it uses less digits than its factorization.

103201022166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17461.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 103201022166 its reverse (661220102301), we get a palindrome (764421124467).

The spelling of 103201022166 in words is "one hundred three billion, two hundred one million, twenty-two thousand, one hundred sixty-six".

Divisors: 1 2 3 6 11 22 33 66 113 226 339 678 839 1243 1678 2486 2517 3729 5034 7458 9229 16493 18458 27687 32986 49479 55374 94807 98958 181423 189614 284421 362846 544269 568842 1042877 1088538 1863709 2085754 3128631 3727418 5591127 6257262 11182254 13837627 20500799 27675254 41001598 41512881 61502397 83025762 123004794 152213897 304427794 456641691 913283382 1563651851 3127303702 4690955553 9381911106 17200170361 34400340722 51600511083 103201022166