Search a number
-
+
102124232 = 23722347241
BaseRepresentation
bin1100001011001…
…00101011001000
321010011110002222
412011210223020
5202120433412
614044513212
72350020200
oct605445310
9233143088
10102124232
11527124a1
122a24b808
1318208652
14d7c5400
158e74072
hex6164ac8

102124232 has 96 divisors (see below), whose sum is σ = 238360320. Its totient is φ = 40803840.

The previous prime is 102124223. The next prime is 102124241. The reversal of 102124232 is 232421201.

It is an interprime number because it is at equal distance from previous prime (102124223) and next prime (102124241).

It is a self number, because there is not a number n which added to its sum of digits gives 102124232.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 423632 + ... + 423872.

It is an arithmetic number, because the mean of its divisors is an integer number (2482920).

Almost surely, 2102124232 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 102124232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119180160).

102124232 is an abundant number, since it is smaller than the sum of its proper divisors (136236088).

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

102124232 is a wasteful number, since it uses less digits than its factorization.

102124232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 102124232 is about 10105.6534672430. The cubic root of 102124232 is about 467.4224863145.

Adding to 102124232 its reverse (232421201), we get a palindrome (334545433).

The spelling of 102124232 in words is "one hundred two million, one hundred twenty-four thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 23 28 46 47 49 56 92 94 98 161 184 188 196 241 322 329 376 392 482 644 658 964 1081 1127 1288 1316 1687 1928 2162 2254 2303 2632 3374 4324 4508 4606 5543 6748 7567 8648 9016 9212 11086 11327 11809 13496 15134 18424 22172 22654 23618 30268 38801 44344 45308 47236 52969 60536 77602 79289 90616 94472 105938 155204 158578 211876 260521 271607 310408 317156 423752 521042 543214 555023 634312 1042084 1086428 1110046 1823647 2084168 2172856 2220092 3647294 4440184 7294588 12765529 14589176 25531058 51062116 102124232