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152121402225 = 32521373712429
BaseRepresentation
bin1000110110101100100…
…1000110001101110001
3112112122121020220122100
42031223021012031301
54443021034332400
6153514505331013
713663465404252
oct2155311061561
9475577226570
10152121402225
1159572625031
1225595196a69
1311463c21a50
14751140cb29
153e54e73100
hex236b246371

152121402225 has 72 divisors (see below), whose sum is σ = 297445224440. Its totient is φ = 73864535040.

The previous prime is 152121402221. The next prime is 152121402227. The reversal of 152121402225 is 522204121251.

152121402225 is a `hidden beast` number, since 15 + 2 + 1 + 21 + 402 + 225 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 53545497201 + 98575905024 = 231399^2 + 313968^2 .

It is not a de Polignac number, because 152121402225 - 22 = 152121402221 is a prime.

It is not an unprimeable number, because it can be changed into a prime (152121402221) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 142690 + ... + 569739.

Almost surely, 2152121402225 is an apocalyptic number.

152121402225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

152121402225 is a deficient number, since it is larger than the sum of its proper divisors (145323822215).

152121402225 is a wasteful number, since it uses less digits than its factorization.

152121402225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712531 (or 712523 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 152121402225 its reverse (522204121251), we get a palindrome (674325523476).

The spelling of 152121402225 in words is "one hundred fifty-two billion, one hundred twenty-one million, four hundred two thousand, two hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 73 75 117 195 219 225 325 365 585 657 949 975 1095 1825 2847 2925 3285 4745 5475 8541 14235 16425 23725 42705 71175 213525 712429 2137287 3562145 6411861 9261577 10686435 17810725 27784731 32059305 46307885 52007317 53432175 83354193 138923655 156021951 160296525 231539425 260036585 416770965 468065853 676095121 694618275 780109755 1300182925 2028285363 2083854825 2340329265 3380475605 3900548775 6084856089 10141426815 11701646325 16902378025 30424280445 50707134075 152121402225