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30501035145 = 32572113163751
BaseRepresentation
bin11100011010000000…
…001101110010001001
32220201200002010101100
4130122000031302021
5444431231111040
622002331012013
72126562343500
oct343200156211
986650063340
1030501035145
1111a32048169
125ab289a009
132b511203b9
141694bcd837
15bd7ae8b30
hex71a00dc89

30501035145 has 144 divisors (see below), whose sum is σ = 62508056832. Its totient is φ = 13716864000.

The previous prime is 30501035119. The next prime is 30501035161. The reversal of 30501035145 is 54153010503.

30501035145 is a `hidden beast` number, since 305 + 0 + 1 + 0 + 351 + 4 + 5 = 666.

It is not a de Polignac number, because 30501035145 - 227 = 30366817417 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 40613520 + ... + 40614270.

It is an arithmetic number, because the mean of its divisors is an integer number (434083728).

Almost surely, 230501035145 is an apocalyptic number.

30501035145 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

30501035145 is an abundant number, since it is smaller than the sum of its proper divisors (32007021687).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

30501035145 is a wasteful number, since it uses less digits than its factorization.

30501035145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

Adding to 30501035145 its reverse (54153010503), we get a palindrome (84654045648).

The spelling of 30501035145 in words is "thirty billion, five hundred one million, thirty-five thousand, one hundred forty-five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 113 147 163 245 315 339 441 489 565 735 751 791 815 1017 1141 1467 1695 2205 2253 2373 2445 3423 3755 3955 5085 5257 5537 5705 6759 7119 7335 7987 10269 11265 11865 15771 16611 17115 18419 23961 26285 27685 33795 35595 36799 39935 47313 49833 51345 55257 71883 78855 83055 84863 92095 110397 119805 122413 128933 165771 183995 236565 249165 254589 276285 331191 359415 367239 386799 424315 551985 594041 612065 644665 763767 828855 856891 902531 1101717 1160397 1272945 1655955 1782123 1836195 1933995 2570673 2707593 2970205 3818835 4158287 4284455 4512655 5346369 5508585 5801985 5998237 7712019 8122779 8910615 12474861 12853365 13537965 13832669 17994711 20791435 26731845 29991185 37424583 38560095 40613895 41498007 53984133 62374305 69163345 89973555 96828683 124494021 187122915 207490035 269920665 290486049 484143415 622470105 677800781 871458147 1452430245 2033402343 3389003905 4357290735 6100207029 10167011715 30501035145