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102152030000 = 245460716829
BaseRepresentation
bin101111100100010111…
…1000100011100110000
3100202200011001210102112
41133020233010130300
53133201404430000
6114532240304452
710244264633306
oct1371057043460
9322604053375
10102152030000
113a360181099
121796a612128
13982c616987
144d30bb2276
1529cd12d235
hex17c8bc4730

102152030000 has 100 divisors (see below), whose sum is σ = 247742447040. Its totient is φ = 40791072000.

The previous prime is 102152029981. The next prime is 102152030003. The reversal of 102152030000 is 30251201.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (102152030003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6061586 + ... + 6078414.

Almost surely, 2102152030000 is an apocalyptic number.

102152030000 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 102152030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123871223520).

102152030000 is an abundant number, since it is smaller than the sum of its proper divisors (145590417040).

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

102152030000 is an equidigital number, since it uses as much as digits as its factorization.

102152030000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17464 (or 17443 counting only the distinct ones).

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

Adding to 102152030000 its reverse (30251201), we get a palindrome (102182281201).

The spelling of 102152030000 in words is "one hundred two billion, one hundred fifty-two million, thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 607 625 1000 1214 1250 2000 2428 2500 3035 4856 5000 6070 9712 10000 12140 15175 16829 24280 30350 33658 48560 60700 67316 75875 84145 121400 134632 151750 168290 242800 269264 303500 336580 379375 420725 607000 673160 758750 841450 1214000 1346320 1517500 1682900 2103625 3035000 3365800 4207250 6070000 6731600 8414500 10215203 10518125 16829000 20430406 21036250 33658000 40860812 42072500 51076015 81721624 84145000 102152030 163443248 168290000 204304060 255380075 408608120 510760150 817216240 1021520300 1276900375 2043040600 2553800750 4086081200 5107601500 6384501875 10215203000 12769003750 20430406000 25538007500 51076015000 102152030000