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102530420000 = 255415732653
BaseRepresentation
bin101111101111101001…
…0100000110100100000
3100210122112001222220222
41133133102200310200
53134440241420000
6115033554422212
710256541122201
oct1373722406440
9323575058828
10102530420000
113a5348270a8
1217a55291968
13988cb30098
144d6914d5a8
152a01473a85
hex17df4a0d20

102530420000 has 120 divisors (see below), whose sum is σ = 253854612396. Its totient is φ = 40749696000.

The previous prime is 102530419963. The next prime is 102530420089. The reversal of 102530420000 is 24035201.

It can be written as a sum of positive squares in 10 ways, for example, as 18923854096 + 83606565904 = 137564^2 + 289148^2 .

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, 3123674 + ... + 3156326.

Almost surely, 2102530420000 is an apocalyptic number.

102530420000 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 102530420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126927306198).

102530420000 is an abundant number, since it is smaller than the sum of its proper divisors (151324192396).

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

102530420000 is an equidigital number, since it uses as much as digits as its factorization.

102530420000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32840 (or 32817 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

Adding to 102530420000 its reverse (24035201), we get a palindrome (102554455201).

The spelling of 102530420000 in words is "one hundred two billion, five hundred thirty million, four hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 157 160 200 250 314 400 500 625 628 785 800 1000 1250 1256 1570 2000 2500 2512 3140 3925 4000 5000 5024 6280 7850 10000 12560 15700 19625 20000 25120 31400 32653 39250 62800 65306 78500 98125 125600 130612 157000 163265 196250 261224 314000 326530 392500 522448 628000 653060 785000 816325 1044896 1306120 1570000 1632650 2612240 3140000 3265300 4081625 5126521 5224480 6530600 8163250 10253042 13061200 16326500 20408125 20506084 25632605 26122400 32653000 40816250 41012168 51265210 65306000 81632500 82024336 102530420 128163025 130612000 163265000 164048672 205060840 256326050 326530000 410121680 512652100 640815125 653060000 820243360 1025304200 1281630250 2050608400 2563260500 3204075625 4101216800 5126521000 6408151250 10253042000 12816302500 20506084000 25632605000 51265210000 102530420000