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155353434201 = 32721374
BaseRepresentation
bin1001000010101111001…
…0010100100001011001
3112211222211220011000100
42100223302110201121
510021130434343301
6155211323130013
714136542255100
oct2205362244131
9484884804010
10155353434201
115a980a66539
1226137673909
131185a6c73c4
14773a775037
154093a9c286
hex242bc94859

155353434201 has 45 divisors (see below), whose sum is σ = 262955425161. Its totient is φ = 88125410016.

The previous prime is 155353434169. The next prime is 155353434211. The reversal of 155353434201 is 102434353551.

The square root of 155353434201 is 394149.

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

155353434201 is a `hidden beast` number, since 1 + 553 + 53 + 4 + 34 + 20 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4747347801 + 150606086400 = 68901^2 + 388080^2 .

It is not a de Polignac number, because 155353434201 - 25 = 155353434169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (155353434211) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1133966605 + ... + 1133966741.

Almost surely, 2155353434201 is an apocalyptic number.

155353434201 is the 394149-th square number.

155353434201 is the 197075-th centered octagonal number.

It is an amenable number.

155353434201 is a deficient number, since it is larger than the sum of its proper divisors (107601990960).

155353434201 is an frugal number, since it uses more digits than its factorization.

155353434201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

Multiplying 155353434201 by its sum of digits (36), we get a square (5592723631236 = 23648942).

Adding to 155353434201 its reverse (102434353551), we get a palindrome (257787787752).

The spelling of 155353434201 in words is "one hundred fifty-five billion, three hundred fifty-three million, four hundred thirty-four thousand, two hundred one".

Divisors: 1 3 7 9 21 49 63 137 147 411 441 959 1233 2877 6713 8631 18769 20139 56307 60417 131383 168921 394149 919681 1182447 2571353 2759043 7714059 8277129 17999471 23142177 53998413 125996297 161995239 352275361 377988891 1056826083 1133966673 2465927527 3170478249 7397782581 17261492689 22193347743 51784478067 155353434201