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30241557801 = 3276134
BaseRepresentation
bin11100001010100010…
…011000110100101001
32220001120211022101100
4130022202120310221
5443413314322201
621520501312013
72120262000000
oct341242306451
986046738340
1030241557801
1111909630a84
125a3ba05609
132b0c440000
14166c567c37
15bbee41886
hex70a898d29

30241557801 has 105 divisors (see below), whose sum is σ = 55209294881. Its totient is φ = 15951590928.

The previous prime is 30241557799. The next prime is 30241557883. The reversal of 30241557801 is 10875514203.

The square root of 30241557801 is 173901.

It is a perfect power (a square), and thus also a powerful number.

30241557801 is a `hidden beast` number, since 3 + 0 + 24 + 1 + 557 + 80 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14994247401 + 15247310400 = 122451^2 + 123480^2 .

It is not a de Polignac number, because 30241557801 - 21 = 30241557799 is a prime.

It is not an unprimeable number, because it can be changed into a prime (30241557301) by changing a digit.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 2326273671 + ... + 2326273683.

Almost surely, 230241557801 is an apocalyptic number.

30241557801 is the 173901-st square number.

30241557801 is the 86951-st centered octagonal number.

It is an amenable number.

30241557801 is a deficient number, since it is larger than the sum of its proper divisors (24967737080).

30241557801 is an frugal number, since it uses more digits than its factorization.

30241557801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

Multiplying 30241557801 by its sum of digits (36), we get a square (1088696080836 = 10434062).

The spelling of 30241557801 in words is "thirty billion, two hundred forty-one million, five hundred fifty-seven thousand, eight hundred one".

Divisors: 1 3 7 9 13 21 39 49 63 91 117 147 169 273 343 441 507 637 819 1029 1183 1521 1911 2197 2401 3087 3549 4459 5733 6591 7203 8281 10647 13377 15379 16807 19773 21609 24843 28561 31213 40131 46137 50421 57967 74529 85683 93639 107653 117649 138411 151263 173901 199927 218491 257049 280917 322959 352947 405769 521703 599781 655473 753571 968877 1058841 1217307 1399489 1529437 1799343 1966419 2260713 2840383 3651921 4198467 4588311 5274997 6782139 8521149 9796423 12595401 13764933 15824991 19882681 25563447 29389269 36924979 47474973 59648043 68574961 88167807 110774937 178944129 205724883 258474853 332324811 480024727 617174649 775424559 1440074181 2326273677 3360173089 4320222543 10080519267 30241557801