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128101116 = 2231113193929
BaseRepresentation
bin1111010001010…
…10101011111100
322221001012200210
413220222223330
5230243213431
620413352420
73113561433
oct750525374
9287035623
10128101116
11663452a0
1236a98710
13207023a0
141302811a
15b3a5d46
hex7a2aafc

128101116 has 96 divisors (see below), whose sum is σ = 369734400. Its totient is φ = 33937920.

The previous prime is 128101087. The next prime is 128101123. The reversal of 128101116 is 611101821.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 128101092 and 128101101.

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, 30640 + ... + 34568.

It is an arithmetic number, because the mean of its divisors is an integer number (3851400).

Almost surely, 2128101116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128101116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184867200).

128101116 is an abundant number, since it is smaller than the sum of its proper divisors (241633284).

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

128101116 is a wasteful number, since it uses less digits than its factorization.

128101116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3979 (or 3977 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 21.

The square root of 128101116 is about 11318.1763548727. The cubic root of 128101116 is about 504.1010914629.

Adding to 128101116 its reverse (611101821), we get a palindrome (739202937).

The spelling of 128101116 in words is "one hundred twenty-eight million, one hundred one thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 11 12 13 19 22 26 33 38 39 44 52 57 66 76 78 114 132 143 156 209 228 247 286 418 429 494 572 627 741 836 858 988 1254 1482 1716 2508 2717 2964 3929 5434 7858 8151 10868 11787 15716 16302 23574 32604 43219 47148 51077 74651 86438 102154 129657 149302 153231 172876 204308 223953 259314 298604 306462 447906 518628 561847 612924 821161 895812 970463 1123694 1642322 1685541 1940926 2247388 2463483 2911389 3284644 3371082 3881852 4926966 5822778 6742164 9853932 10675093 11645556 21350186 32025279 42700372 64050558 128101116