Search a number
-
+
102350102000 = 245353965567
BaseRepresentation
bin101111101010010001…
…0101001110111110000
3100210011221202220010112
41133110202221313300
53134103111231000
6115004033520452
710252221340556
oct1372442516760
9323157686115
10102350102000
113a451a67563
1217a04a13128
139861677543
144d4d211bd6
1529e0706235
hex17d48a9df0

102350102000 has 80 divisors (see below), whose sum is σ = 252152289792. Its totient is φ = 40167545600.

The previous prime is 102350101979. The next prime is 102350102017. The reversal of 102350102000 is 201053201.

It is a happy number.

102350102000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 376784 + ... + 588783.

Almost surely, 2102350102000 is an apocalyptic number.

102350102000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102350102000 is an abundant number, since it is smaller than the sum of its proper divisors (149802187792).

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

102350102000 is an equidigital number, since it uses as much as digits as its factorization.

102350102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 965643 (or 965627 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

Adding to 102350102000 its reverse (201053201), we get a palindrome (102551155201).

The spelling of 102350102000 in words is "one hundred two billion, three hundred fifty million, one hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 53 80 100 106 125 200 212 250 265 400 424 500 530 848 1000 1060 1325 2000 2120 2650 4240 5300 6625 10600 13250 21200 26500 53000 106000 965567 1931134 3862268 4827835 7724536 9655670 15449072 19311340 24139175 38622680 48278350 51175051 77245360 96556700 102350102 120695875 193113400 204700204 241391750 255875255 386226800 409400408 482783500 511750510 818800816 965567000 1023501020 1279376275 1931134000 2047002040 2558752550 4094004080 5117505100 6396881375 10235010200 12793762750 20470020400 25587525500 51175051000 102350102000