Search a number
-
+
102023160200 = 235213137286421
BaseRepresentation
bin101111100000100001…
…1011110000110001000
3100202100011120112021222
41133001003132012020
53132420412111300
6114511354221212
710241141360513
oct1370103360610
9322304515258
10102023160200
113a2a4461325
1217933424808
13980ba05760
144d1ba27d7a
1529c1b74785
hex17c10de188

102023160200 has 96 divisors (see below), whose sum is σ = 257315796360. Its totient is φ = 37394995200.

The previous prime is 102023160181. The next prime is 102023160223. The reversal of 102023160200 is 2061320201.

102023160200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 20593972036 + 81429188164 = 143506^2 + 285358^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 212990 + ... + 499410.

Almost surely, 2102023160200 is an apocalyptic number.

102023160200 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 102023160200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128657898180).

102023160200 is an abundant number, since it is smaller than the sum of its proper divisors (155292636160).

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

102023160200 is a wasteful number, since it uses less digits than its factorization.

102023160200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286587 (or 286578 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 102023160200 its reverse (2061320201), we get a palindrome (104084480401).

The spelling of 102023160200 in words is "one hundred two billion, twenty-three million, one hundred sixty thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 137 200 260 274 325 520 548 650 685 1096 1300 1370 1781 2600 2740 3425 3562 5480 6850 7124 8905 13700 14248 17810 27400 35620 44525 71240 89050 178100 286421 356200 572842 1145684 1432105 2291368 2864210 3723473 5728420 7160525 7446946 11456840 14321050 14893892 18617365 28642100 29787784 37234730 39239677 57284200 74469460 78479354 93086825 148938920 156958708 186173650 196198385 313917416 372347300 392396770 510115801 744694600 784793540 980991925 1020231602 1569587080 1961983850 2040463204 2550579005 3923967700 4080926408 5101158010 7847935400 10202316020 12752895025 20404632040 25505790050 51011580100 102023160200