Search a number
-
+
102011302500 = 2235482116567
BaseRepresentation
bin101111100000001011…
…0001111001001100100
3100202022100021002120220
41133000112033021210
53132404343140000
6114510252124340
710240635523122
oct1370026171144
9322270232526
10102011302500
113a2987a2478
121792b4666b0
139809413473
144d1a21c912
1529c0ad11a0
hex17c058f264

102011302500 has 120 divisors (see below), whose sum is σ = 297818017728. Its totient is φ = 27168240000.

The previous prime is 102011302469. The next prime is 102011302559. The reversal of 102011302500 is 5203110201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102011302500.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6149217 + ... + 6165783.

Almost surely, 2102011302500 is an apocalyptic number.

102011302500 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 102011302500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148909008864).

102011302500 is an abundant number, since it is smaller than the sum of its proper divisors (195806715228).

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

102011302500 is a wasteful number, since it uses less digits than its factorization.

102011302500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17415 (or 17398 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

Adding to 102011302500 its reverse (5203110201), we get a palindrome (107214412701).

The spelling of 102011302500 in words is "one hundred two billion, eleven million, three hundred two thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 125 150 250 300 375 500 625 750 821 1250 1500 1642 1875 2463 2500 3284 3750 4105 4926 7500 8210 9852 12315 16420 16567 20525 24630 33134 41050 49260 49701 61575 66268 82100 82835 99402 102625 123150 165670 198804 205250 246300 248505 307875 331340 410500 414175 497010 513125 615750 828350 994020 1026250 1231500 1242525 1539375 1656700 2052500 2070875 2485050 3078750 4141750 4970100 6157500 6212625 8283500 10354375 12425250 13601507 20708750 24850500 27203014 31063125 40804521 41417500 54406028 62126250 68007535 81609042 124252500 136015070 163218084 204022605 272030140 340037675 408045210 680075350 816090420 1020113025 1360150700 1700188375 2040226050 3400376750 4080452100 5100565125 6800753500 8500941875 10201130250 17001883750 20402260500 25502825625 34003767500 51005651250 102011302500