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30965301072 = 24321919956873
BaseRepresentation
bin11100110101101011…
…001111111101010000
32221221000200021111200
4130311223033331100
51001404104113242
622120353511200
72144230500456
oct346553177520
987830607450
1030965301072
1112150118012
126002272500
132bc6373574
1416da7229d6
15c1375404c
hex735acff50

30965301072 has 120 divisors (see below), whose sum is σ = 91680888000. Its totient is φ = 9729206784.

The previous prime is 30965301067. The next prime is 30965301077. The reversal of 30965301072 is 27010356903.

30965301072 is a `hidden beast` number, since 30 + 96 + 530 + 1 + 0 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (30965301067) and next prime (30965301077).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30965301077) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 516028 + ... + 572900.

It is an arithmetic number, because the mean of its divisors is an integer number (764007400).

Almost surely, 230965301072 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 30965301072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45840444000).

30965301072 is an abundant number, since it is smaller than the sum of its proper divisors (60715586928).

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

30965301072 is a wasteful number, since it uses less digits than its factorization.

30965301072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57105 (or 57096 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

Adding to 30965301072 its reverse (27010356903), we get a palindrome (57975657975).

The spelling of 30965301072 in words is "thirty billion, nine hundred sixty-five million, three hundred one thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 199 228 304 342 398 456 597 684 796 912 1194 1368 1592 1791 2388 2736 3184 3582 3781 4776 7164 7562 9552 11343 14328 15124 22686 28656 30248 34029 45372 56873 60496 68058 90744 113746 136116 170619 181488 227492 272232 341238 454984 511857 544464 682476 909968 1023714 1080587 1364952 2047428 2161174 2729904 3241761 4094856 4322348 6483522 8189712 8644696 9725283 11317727 12967044 17289392 19450566 22635454 25934088 33953181 38901132 45270908 51868176 67906362 77802264 90541816 101859543 135812724 155604528 181083632 203719086 215036813 271625448 407438172 430073626 543250896 645110439 814876344 860147252 1290220878 1629752688 1720294504 1935331317 2580441756 3440589008 3870662634 5160883512 7741325268 10321767024 15482650536 30965301072