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30271824108 = 223247107271617
BaseRepresentation
bin11100001100010101…
…110110000011101100
32220010200202222221200
4130030111312003230
5443444041332413
621523502125500
72121110154651
oct341425660354
986120688850
1030271824108
1111924723559
125a49b80890
132b157a9276
1416725a5c28
15bc291e573
hex70c5760ec

30271824108 has 144 divisors (see below), whose sum is σ = 79298279424. Its totient is φ = 9731715840.

The previous prime is 30271824103. The next prime is 30271824139. The reversal of 30271824108 is 80142817203.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (30271824101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49062616 + ... + 49063232.

It is an arithmetic number, because the mean of its divisors is an integer number (550682496).

Almost surely, 230271824108 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30271824108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39649139712).

30271824108 is an abundant number, since it is smaller than the sum of its proper divisors (49026455316).

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

30271824108 is a wasteful number, since it uses less digits than its factorization.

30271824108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052 (or 1047 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

Adding to 30271824108 its sum of digits (36), we get a square (30271824144 = 1739882).

The spelling of 30271824108 in words is "thirty billion, two hundred seventy-one million, eight hundred twenty-four thousand, one hundred eight".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 107 141 188 214 271 282 321 423 428 542 564 617 642 813 846 963 1084 1234 1284 1626 1692 1851 1926 2439 2468 3252 3702 3852 4878 5029 5553 7404 9756 10058 11106 12737 15087 20116 22212 25474 28997 28999 30174 38211 45261 50948 57994 57998 60348 66019 76422 86991 86997 90522 114633 115988 115996 132038 152844 167207 173982 173994 181044 198057 229266 260973 260991 264076 334414 347964 347988 396114 458532 501621 521946 521982 594171 668828 792228 1003242 1043892 1043964 1188342 1362859 1504863 2006484 2376684 2725718 3009726 3102893 4088577 5451436 6019452 6205786 7858729 8177154 9308679 12265731 12411572 15717458 16354308 17891149 18617358 23576187 24531462 27926037 31434916 35782298 37234716 47152374 49062924 53673447 55852074 70728561 71564596 94304748 107346894 111704148 141457122 161020341 214693788 282914244 322040682 644081364 840884003 1681768006 2522652009 3363536012 5045304018 7567956027 10090608036 15135912054 30271824108