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30155344355103 = 31123141317206183
BaseRepresentation
bin1101101101101000101101…
…00101101001111100011111
310221202211012210111122022120
412312310112211221330133
512423031121123330403
6144045101323514023
76231436354541532
oct666642645517437
9127684183448276
1030155344355103
11967689a816300
123470383988913
1313a9837ca7cb6
1476375283aa19
15374622b80e53
hex1b6d16969f1f

30155344355103 has 96 divisors (see below), whose sum is σ = 46880580612096. Its totient is φ = 17200527168000.

The previous prime is 30155344355083. The next prime is 30155344355113.

30155344355103 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 30155344355103 - 28 = 30155344354847 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30155344355113) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 146152150 + ... + 146358332.

It is an arithmetic number, because the mean of its divisors is an integer number (488339381376).

Almost surely, 230155344355103 is an apocalyptic number.

30155344355103 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

30155344355103 is a deficient number, since it is larger than the sum of its proper divisors (16725236256993).

30155344355103 is a wasteful number, since it uses less digits than its factorization.

30155344355103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206597 (or 206586 counting only the distinct ones).

The product of its (nonzero) digits is 810000, while the sum is 42.

The spelling of 30155344355103 in words is "thirty trillion, one hundred fifty-five billion, three hundred forty-four million, three hundred fifty-five thousand, one hundred three".

Divisors: 1 3 11 31 33 41 93 121 123 317 341 363 451 951 1023 1271 1353 3487 3751 3813 4961 9827 10461 11253 12997 13981 14883 29481 38357 38991 41943 108097 115071 142967 153791 206183 324291 402907 428901 461373 618549 1189067 1208721 1572637 2268013 3567201 4431977 4717911 6391673 6804039 8453503 13295931 19175019 24948143 25360509 48751747 65360011 70308403 74844429 92988533 146255241 196080033 210925209 262058593 278965599 718960121 773392433 786175779 1022873863 2026160341 2156880363 2320177299 2679760451 2882644523 3068621589 6078481023 7908561331 8039281353 8647933569 22287763751 23725683993 29477364961 31709089753 66863291253 83072573981 88432094883 95127269259 245165401261 249217721943 324251014571 735496203783 913798313791 972753043713 2741394941373 10051781451701 30155344355103