Search a number
-
+
301220031120 = 243517671101917
BaseRepresentation
bin1000110001000100001…
…11001110101010010000
31001210111112122000210220
410120202013032222100
514413344311443440
6350213434353040
730522341006361
oct4304207165220
91053445560726
10301220031120
11106823944788
124a465b8b780
1322535817708
14108171a7b68
157c7e8548d0
hex46221cea90

301220031120 has 160 divisors (see below), whose sum is σ = 1003468238208. Its totient is φ = 74471890944.

The previous prime is 301220031097. The next prime is 301220031121. The reversal of 301220031120 is 21130022103.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 301220031120.

It is not an unprimeable number, because it can be changed into a prime (301220031121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 277599 + ... + 824318.

Almost surely, 2301220031120 is an apocalyptic number.

301220031120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

301220031120 is an abundant number, since it is smaller than the sum of its proper divisors (702248207088).

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

301220031120 is a wasteful number, since it uses less digits than its factorization.

301220031120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102017 (or 1102011 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 301220031120 its reverse (21130022103), we get a palindrome (322350053223).

The spelling of 301220031120 in words is "three hundred one billion, two hundred twenty million, thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 67 68 80 85 102 120 134 136 170 201 204 240 255 268 272 335 340 402 408 510 536 670 680 804 816 1005 1020 1072 1139 1340 1360 1608 2010 2040 2278 2680 3216 3417 4020 4080 4556 5360 5695 6834 8040 9112 11390 13668 16080 17085 18224 22780 27336 34170 45560 54672 68340 91120 136680 273360 1101917 2203834 3305751 4407668 5509585 6611502 8815336 11019170 13223004 16528755 17630672 18732589 22038340 26446008 33057510 37465178 44076680 52892016 56197767 66115020 73828439 74930356 88153360 93662945 112395534 132230040 147656878 149860712 187325890 221485317 224791068 264460080 280988835 295313756 299721424 369142195 374651780 442970634 449582136 561977670 590627512 738284390 749303560 885941268 899164272 1107426585 1123955340 1181255024 1255083463 1476568780 1498607120 1771882536 2214853170 2247910680 2510166926 2953137560 3543765072 3765250389 4429706340 4495821360 5020333852 5906275120 6275417315 7530500778 8859412680 10040667704 12550834630 15061001556 17718825360 18826251945 20081335408 25101669260 30122003112 37652503890 50203338520 60244006224 75305007780 100406677040 150610015560 301220031120