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130233253352553 = 321312491261370657
BaseRepresentation
bin11101100111001001001010…
…110011011101010001101001
3122002010011210100100022100100
4131213021022303131101221
5114032220200324240203
61140552155230500013
736301020265404261
oct3547111263352151
9562104710308310
10130233253352553
113855068138637a
12127340b1064609
135788c34c98320
1424234748007a1
15100c9ec082ea3
hex76724acdd469

130233253352553 has 48 divisors (see below), whose sum is σ = 202766202730000. Its totient is φ = 80071892140032.

The previous prime is 130233253352537. The next prime is 130233253352597. The reversal of 130233253352553 is 355253352332031.

It is a happy number.

130233253352553 is a `hidden beast` number, since 1 + 3 + 0 + 23 + 3 + 2 + 53 + 3 + 525 + 53 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2316689424 + 130230936663129 = 48132^2 + 11411877^2 .

It is not a de Polignac number, because 130233253352553 - 24 = 130233253352537 is a prime.

It is a super-3 number, since 3×1302332533525533 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 130233253352499 and 130233253352508.

It is not an unprimeable number, because it can be changed into a prime (130233253452553) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1843140201 + ... + 1843210857.

Almost surely, 2130233253352553 is an apocalyptic number.

130233253352553 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

130233253352553 is a deficient number, since it is larger than the sum of its proper divisors (72532949377447).

130233253352553 is a wasteful number, since it uses less digits than its factorization.

130233253352553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84538 (or 84535 counting only the distinct ones).

The product of its (nonzero) digits is 3645000, while the sum is 45.

The spelling of 130233253352553 in words is "one hundred thirty trillion, two hundred thirty-three billion, two hundred fifty-three million, three hundred fifty-two thousand, five hundred fifty-three".

Divisors: 1 3 9 13 39 117 1249 3747 11241 12613 16237 37839 48711 70657 113517 146133 163969 211971 491907 635913 918541 1475721 2755623 8266869 15753637 47260911 88250593 141782733 204797281 264751779 614391843 794255337 891196741 1147257709 1843175529 2673590223 3441773127 8020770669 10325319381 11585557633 34756672899 104270018697 1113104729509 3339314188527 10017942565581 14470361483617 43411084450851 130233253352553