Search a number
-
+
103201202110000 = 245467331532767
BaseRepresentation
bin10111011101110001100110…
…111111011111111000110000
3111112101221100012212000010211
4113131301212333133320300
5102011322030220010000
61003253551105433504
730511016665130251
oct2735614677377060
9445357305760124
10103201202110000
112a979425161095
12b6a910193b894
134577aa70479b7
141b6ad71708b28
15bde777c8d7ba
hex5ddc66fdfe30

103201202110000 has 100 divisors (see below), whose sum is σ = 249897703287232. Its totient is φ = 41274322848000.

The previous prime is 103201202109979. The next prime is 103201202110081. The reversal of 103201202110000 is 11202102301.

It is a tau number, because it is divible by the number of its divisors (100).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 66563617 + ... + 68096383.

Almost surely, 2103201202110000 is an apocalyptic number.

103201202110000 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 103201202110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124948851643616).

103201202110000 is an abundant number, since it is smaller than the sum of its proper divisors (146696501177232).

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

103201202110000 is an equidigital number, since it uses as much as digits as its factorization.

103201202110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1539528 (or 1539507 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 103201202110000 its reverse (11202102301), we get a palindrome (103212404212301).

The spelling of 103201202110000 in words is "one hundred three trillion, two hundred one billion, two hundred two million, one hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 6733 10000 13466 26932 33665 53864 67330 107728 134660 168325 269320 336650 538640 673300 841625 1346600 1532767 1683250 2693200 3065534 3366500 4208125 6131068 6733000 7663835 8416250 12262136 13466000 15327670 16832500 24524272 30655340 33665000 38319175 61310680 67330000 76638350 122621360 153276700 191595875 306553400 383191750 613106800 766383500 957979375 1532767000 1915958750 3065534000 3831917500 7663835000 10320120211 15327670000 20640240422 41280480844 51600601055 82560961688 103201202110 165121923376 206402404220 258003005275 412804808440 516006010550 825609616880 1032012021100 1290015026375 2064024042200 2580030052750 4128048084400 5160060105500 6450075131875 10320120211000 12900150263750 20640240422000 25800300527500 51600601055000 103201202110000