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110313330332133 = 32331793798392053
BaseRepresentation
bin11001000101010001010010…
…110111100101000111100101
3112110120211222122211211211010
4121011101102313211013211
5103424333200031112013
61030341124440132433
732143606106430255
oct3105212267450745
9473524878754733
10110313330332133
1132170691123305
1210457567167119
13497266ba5ca56
141d3529d639965
15cb47823247c3
hex645452de51e5

110313330332133 has 128 divisors (see below), whose sum is σ = 161129299968000. Its totient is φ = 66923971994880.

The previous prime is 110313330332113. The next prime is 110313330332147. The reversal of 110313330332133 is 331233033313011.

It is not a de Polignac number, because 110313330332133 - 26 = 110313330332069 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 110313330332133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110313330332113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 53732746335 + ... + 53732748387.

It is an arithmetic number, because the mean of its divisors is an integer number (1258822656000).

Almost surely, 2110313330332133 is an apocalyptic number.

It is an amenable number.

110313330332133 is a deficient number, since it is larger than the sum of its proper divisors (50815969635867).

110313330332133 is a wasteful number, since it uses less digits than its factorization.

110313330332133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3407.

The product of its (nonzero) digits is 13122, while the sum is 30.

Adding to 110313330332133 its reverse (331233033313011), we get a palindrome (441546363645144).

The spelling of 110313330332133 in words is "one hundred ten trillion, three hundred thirteen billion, three hundred thirty million, three hundred thirty-two thousand, one hundred thirty-three".

Divisors: 1 3 23 31 69 79 93 237 379 713 839 1137 1817 2053 2139 2449 2517 5451 6159 7347 8717 11749 19297 26009 26151 29941 35247 47219 56327 57891 63643 66281 78027 89823 141657 162187 168981 190929 198843 270227 317981 486561 598207 688643 778087 810681 928171 953943 1463789 1524463 1722467 1794621 2054711 2065929 2334261 2784513 3730301 4391367 4573389 5027797 5167401 6164133 7313563 9857411 11190903 15083391 17896001 21347933 21940689 24120697 25120499 29572233 39616741 47258353 53396477 53688003 61468873 64043799 72362091 75361497 115639331 118850223 136074893 141775059 160189431 184406619 226720453 346917993 408224679 554776031 577771477 652814993 680161359 778735469 1228118971 1413784079 1664328093 1733314431 1905535063 1958444979 2336206407 3129722539 3684356913 4218321683 4241352237 5716605189 9389167617 12654965049 15014744839 17910915787 20237264783 43827306449 45044234517 51572384447 53732747361 60711794349 97021398709 131481919347 154717153341 291064196127 465457090009 1186164842281 1396371270027 1598743917857 3558494526843 4796231753571 36771110110711 110313330332133