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345182522061 = 3133783109137193
BaseRepresentation
bin1010000010111100111…
…10110100101011001101
31012222222100210222000010
411001132132310223031
521123413211201221
6422324043223433
733636642012036
oct5013636645315
91188870728003
10345182522061
11123433597923
1256a94b17b79
13267207b7870
14129c7b23a8d
158ea4152c76
hex505e7b4acd

345182522061 has 128 divisors (see below), whose sum is σ = 526410339840. Its totient is φ = 199798161408.

The previous prime is 345182522011. The next prime is 345182522093. The reversal of 345182522061 is 160225281543.

It is not a de Polignac number, because 345182522061 - 29 = 345182521549 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345182522011) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1788510381 + ... + 1788510573.

It is an arithmetic number, because the mean of its divisors is an integer number (4112580780).

Almost surely, 2345182522061 is an apocalyptic number.

It is an amenable number.

345182522061 is a deficient number, since it is larger than the sum of its proper divisors (181227817779).

345182522061 is a wasteful number, since it uses less digits than its factorization.

345182522061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575.

The product of its (nonzero) digits is 115200, while the sum is 39.

The spelling of 345182522061 in words is "three hundred forty-five billion, one hundred eighty-two million, five hundred twenty-two thousand, sixty-one".

Divisors: 1 3 13 37 39 83 109 111 137 193 249 327 411 481 579 1079 1417 1443 1781 2509 3071 3237 4033 4251 5069 5343 7141 7527 9047 9213 11371 12099 14933 15207 16019 21037 21423 26441 27141 34113 39923 44799 48057 52429 63111 65897 79323 92833 117611 119769 147823 157287 194129 197691 208247 273481 278499 334739 343733 352833 420727 443469 552521 582387 592703 624741 778369 820443 978317 1004217 1031199 1239439 1262181 1657563 1746071 1778109 2194603 2335107 2882069 2934951 3718317 4351607 5238213 5469451 6583809 7182773 7705139 8646207 10118797 12718121 13054821 16112707 16408353 21548319 22698923 23115417 28529839 30356391 37466897 38154363 45859243 48338121 64604627 68096769 81200311 85589517 106636553 112400691 137577729 193813881 239211727 243600933 319909659 596170159 717635181 839860151 1055604043 1386275189 1788510477 2519580453 3109752451 3166812129 4158825567 8850833899 9329257353 26552501697 115060840687 345182522061