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145103210000 = 245472296129
BaseRepresentation
bin1000011100100011010…
…0110100011000010000
3111212112111021210210222
42013020310310120100
54334132410210000
6150354241212212
713324535635400
oct2071064643020
9455474253728
10145103210000
11565a0a85371
1224156931068
13108b5c19498
1470472b8800
153b93c63a85
hex21c8d34610

145103210000 has 150 divisors (see below), whose sum is σ = 408667395510. Its totient is φ = 49749504000.

The previous prime is 145103209981. The next prime is 145103210011. The reversal of 145103210000 is 12301541.

It can be written as a sum of positive squares in 5 ways, for example, as 101050237456 + 44052972544 = 317884^2 + 209888^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 341936 + ... + 638064.

Almost surely, 2145103210000 is an apocalyptic number.

145103210000 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 145103210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204333697755).

145103210000 is an abundant number, since it is smaller than the sum of its proper divisors (263564185510).

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

145103210000 is an equidigital number, since it uses as much as digits as its factorization.

145103210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296171 (or 296143 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

Adding to 145103210000 its reverse (12301541), we get a palindrome (145115511541).

The spelling of 145103210000 in words is "one hundred forty-five billion, one hundred three million, two hundred ten thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 49 50 56 70 80 98 100 112 125 140 175 196 200 245 250 280 350 392 400 490 500 560 625 700 784 875 980 1000 1225 1250 1400 1750 1960 2000 2450 2500 2800 3500 3920 4375 4900 5000 6125 7000 8750 9800 10000 12250 14000 17500 19600 24500 30625 35000 49000 61250 70000 98000 122500 245000 296129 490000 592258 1184516 1480645 2072903 2369032 2961290 4145806 4738064 5922580 7403225 8291612 10364515 11845160 14510321 14806450 16583224 20729030 23690320 29020642 29612900 33166448 37016125 41458060 51822575 58041284 59225800 72551605 74032250 82916120 103645150 116082568 118451600 145103210 148064500 165832240 185080625 207290300 232165136 259112875 290206420 296129000 362758025 370161250 414580600 518225750 580412840 592258000 725516050 740322500 829161200 1036451500 1160825680 1295564375 1451032100 1480645000 1813790125 2072903000 2591128750 2902064200 2961290000 3627580250 4145806000 5182257500 5804128400 7255160500 9068950625 10364515000 14510321000 18137901250 20729030000 29020642000 36275802500 72551605000 145103210000