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145211052220 = 2251319916011753
BaseRepresentation
bin1000011100111101000…
…0001101000010111100
3111212211000012202112021
42013033100031002330
54334343012132340
6150413052445524
713330315402243
oct2071720150274
9455730182467
10145211052220
1156646942873
1224186a798a4
1310902377650
14705774b95a
153b9d466e4a
hex21cf40d0bc

145211052220 has 96 divisors (see below), whose sum is σ = 330445180800. Its totient is φ = 53283225600.

The previous prime is 145211052209. The next prime is 145211052241. The reversal of 145211052220 is 22250112541.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82834864 + ... + 82836616.

It is an arithmetic number, because the mean of its divisors is an integer number (3442137300).

Almost surely, 2145211052220 is an apocalyptic number.

145211052220 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 145211052220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165222590400).

145211052220 is an abundant number, since it is smaller than the sum of its proper divisors (185234128580).

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

145211052220 is a wasteful number, since it uses less digits than its factorization.

145211052220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3575 (or 3573 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

Adding to 145211052220 its reverse (22250112541), we get a palindrome (167461164761).

The spelling of 145211052220 in words is "one hundred forty-five billion, two hundred eleven million, fifty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 199 260 398 796 995 1601 1753 1990 2587 3202 3506 3980 5174 6404 7012 8005 8765 10348 12935 16010 17530 20813 22789 25870 32020 35060 41626 45578 51740 83252 91156 104065 113945 208130 227890 318599 348847 416260 455780 637198 697694 1274396 1395388 1592995 1744235 2806553 3185990 3488470 4141787 4535011 5613106 6371980 6976940 8283574 9070022 11226212 14032765 16567148 18140044 20708935 22675055 28065530 36485189 41417870 45350110 56131060 72970378 82835740 90700220 145940756 182425945 364851890 558504047 729703780 1117008094 2234016188 2792520235 5585040470 7260552611 11170080940 14521105222 29042210444 36302763055 72605526110 145211052220