Base | Representation |
---|---|
bin | 101111100011001001… |
… | …1011001011100010000 |
3 | 100202120022021111201100 |
4 | 1133012103121130100 |
5 | 3133110433042040 |
6 | 114524221504400 |
7 | 10243261030200 |
oct | 1370623313420 |
9 | 322508244640 |
10 | 102111221520 |
11 | 3a33a139080 |
12 | 17958a12100 |
13 | 9824029149 |
14 | 4d295cc400 |
15 | 29c976bb30 |
hex | 17c64d9710 |
102111221520 has 360 divisors, whose sum is σ = 435177325440. Its totient is φ = 21217835520.
The previous prime is 102111221503. The next prime is 102111221533. The reversal of 102111221520 is 25122111201.
102111221520 is a `hidden beast` number, since 1 + 0 + 21 + 1 + 122 + 1 + 520 = 666.
It is a tau number, because it is divible by the number of its divisors (360).
It is a super-2 number, since 2×1021112215202 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 102111221493 and 102111221502.
It is an unprimeable number.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 256521 + ... + 519639.
It is an arithmetic number, because the mean of its divisors is an integer number (1208825904).
Almost surely, 2102111221520 is an apocalyptic number.
102111221520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 102111221520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217588662720).
102111221520 is an abundant number, since it is smaller than the sum of its proper divisors (333066103920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
102111221520 is a wasteful number, since it uses less digits than its factorization.
102111221520 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 263163 (or 263147 counting only the distinct ones).
The product of its (nonzero) digits is 80, while the sum is 18.
Adding to 102111221520 its reverse (25122111201), we get a palindrome (127233332721).
The spelling of 102111221520 in words is "one hundred two billion, one hundred eleven million, two hundred twenty-one thousand, five hundred twenty".
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