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147371532100 = 225213229532
BaseRepresentation
bin1000100101000000000…
…1110001111101000100
3112002101120112111202121
42021100001301331010
54403304103011400
6151411311215324
713435001232352
oct2112001617504
9462346474677
10147371532100
115755542a331
122468a517544
1310b87b4ca00
1471c065c7d2
153c77e7921a
hex2250071f44

147371532100 has 81 divisors (see below), whose sum is σ = 346405525893. Its totient is φ = 54395677440.

The previous prime is 147371532073. The next prime is 147371532107. The reversal of 147371532100 is 1235173741.

The square root of 147371532100 is 383890.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 101349269316 + 46022262784 = 318354^2 + 214528^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (147371532107) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 49904224 + ... + 49907176.

Almost surely, 2147371532100 is an apocalyptic number.

147371532100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

147371532100 is the 383890-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147371532100

147371532100 is an abundant number, since it is smaller than the sum of its proper divisors (199033993793).

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

147371532100 is an equidigital number, since it uses as much as digits as its factorization.

147371532100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5946 (or 2973 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 34.

The spelling of 147371532100 in words is "one hundred forty-seven billion, three hundred seventy-one million, five hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 169 260 325 338 650 676 845 1300 1690 2953 3380 4225 5906 8450 11812 14765 16900 29530 38389 59060 73825 76778 147650 153556 191945 295300 383890 499057 767780 959725 998114 1919450 1996228 2495285 3838900 4990570 8720209 9981140 12476425 17440418 24952850 34880836 43601045 49905700 87202090 113362717 174404180 218005225 226725434 436010450 453450868 566813585 872020900 1133627170 1473715321 2267254340 2834067925 2947430642 5668135850 5894861284 7368576605 11336271700 14737153210 29474306420 36842883025 73685766050 147371532100