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113121213303033 = 33132397144456593
BaseRepresentation
bin11001101110001000010101…
…101111000100100011111001
3112211112021121212000211221000
4121232020111233010203321
5104311334221101144113
61040331100141035213
732553511056041655
oct3156102557044371
9484467555024830
10113121213303033
1133053489933571
121082b795555b09
134b17391489cc0
141dd114b373a65
15d128206c4373
hex66e215bc48f9

113121213303033 has 64 divisors (see below), whose sum is σ = 190266669089280. Its totient is φ = 65899941617664.

The previous prime is 113121213303029. The next prime is 113121213303121. The reversal of 113121213303033 is 330303312121311.

113121213303033 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 2 + 1 + 21 + 330 + 303 + 3 = 666.

It is not a de Polignac number, because 113121213303033 - 22 = 113121213303029 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 113121213302988 and 113121213303006.

It is not an unprimeable number, because it can be changed into a prime (113121213303013) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71445216 + ... + 73011377.

It is an arithmetic number, because the mean of its divisors is an integer number (2972916704520).

Almost surely, 2113121213303033 is an apocalyptic number.

113121213303033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

113121213303033 is a deficient number, since it is larger than the sum of its proper divisors (77145455786247).

113121213303033 is a wasteful number, since it uses less digits than its factorization.

113121213303033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144456735 (or 144456729 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 113121213303033 its reverse (330303312121311), we get a palindrome (443424525424344).

The spelling of 113121213303033 in words is "one hundred thirteen trillion, one hundred twenty-one billion, two hundred thirteen million, three hundred three thousand, thirty-three".

Divisors: 1 3 9 13 23 27 39 69 97 117 207 291 299 351 621 873 897 1261 2231 2619 2691 3783 6693 8073 11349 20079 29003 34047 60237 87009 261027 783081 144456593 433369779 1300109337 1877935709 3322501639 3900328011 5633807127 9967504917 14012289521 16901421381 29902514751 42036868563 43192521307 50704264143 89707544253 126110605689 129577563921 182159763773 322282658983 378331817067 388732691763 546479291319 966847976949 1166198075289 1639437873957 2900543930847 4189674566779 4918313621871 8701631792541 12569023700337 37707071101011 113121213303033