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1021301145225 = 325261678313381
BaseRepresentation
bin11101101110010100100…
…10101011111010001001
310121122011020021201102200
432313022102223322021
5113213111043121400
62101102415550413
7133533536333154
oct16671222537211
93548136251380
101021301145225
11364149964649
12145b2782b409
13754013bc79a
143760746ac9b
151b87684bb00
hexedca4abe89

1021301145225 has 144 divisors (see below), whose sum is σ = 1909879468224. Its totient is φ = 521370432000.

The previous prime is 1021301145217. The next prime is 1021301145229. The reversal of 1021301145225 is 5225411031201.

It is a happy number.

1021301145225 is a `hidden beast` number, since 1 + 0 + 2 + 130 + 1 + 1 + 4 + 522 + 5 = 666.

It is not a de Polignac number, because 1021301145225 - 23 = 1021301145217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1021301145229) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 76318035 + ... + 76331415.

Almost surely, 21021301145225 is an apocalyptic number.

1021301145225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1021301145225 is a deficient number, since it is larger than the sum of its proper divisors (888578322999).

1021301145225 is a wasteful number, since it uses less digits than its factorization.

1021301145225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13608 (or 13600 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 1021301145225 its reverse (5225411031201), we get a palindrome (6246712176426).

The spelling of 1021301145225 in words is "one trillion, twenty-one billion, three hundred one million, one hundred forty-five thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 61 67 75 83 183 201 225 249 305 335 415 549 603 747 915 1005 1245 1525 1675 2075 2745 3015 3735 4087 4575 5025 5063 5561 6225 12261 13381 13725 15075 15189 16683 18675 20435 25315 27805 36783 40143 45567 50049 61305 66905 75945 83415 102175 120429 126575 139025 183915 200715 227835 250245 306525 334525 339221 379725 417075 602145 816241 896527 919575 1003575 1017663 1110623 1139175 1251225 1696105 2448723 2689581 3010725 3052989 3331869 4081205 4482635 5088315 5553115 7346169 8068743 8480525 9995607 12243615 13447905 15264945 16659345 20406025 22413175 25441575 27765575 36730845 40343715 49978035 54688147 61218075 67239525 67748003 74411741 76324725 83296725 164064441 183654225 201718575 203244009 223235223 249890175 273440735 338740015 372058705 492193323 609732027 669705669 820322205 1016220045 1116176115 1367203675 1693700075 1860293525 2460966615 3048660135 3348528345 4101611025 4539116201 5081100225 5580880575 12304833075 13617348603 15243300675 16742641725 22695581005 40852045809 68086743015 113477905025 204260229045 340433715075 1021301145225