Search a number
-
+
320001121020 = 223574157183283
BaseRepresentation
bin1001010100000011000…
…11011001101011111100
31010120222102120020202010
410222001203121223330
520220330241333040
6403001222331220
732055632435460
oct4520143315374
91116872506663
10320001121020
11113791321589
1252027889b10
1324239809869
14116b963a4a0
1584cd59be80
hex4a818d9afc

320001121020 has 96 divisors (see below), whose sum is σ = 1024255507968. Its totient is φ = 73125119232.

The previous prime is 320001121007. The next prime is 320001121043. The reversal of 320001121020 is 20121100023.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 320001120987 and 320001121005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1654299 + ... + 1837581.

It is an arithmetic number, because the mean of its divisors is an integer number (10669328208).

Almost surely, 2320001121020 is an apocalyptic number.

320001121020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

320001121020 is an abundant number, since it is smaller than the sum of its proper divisors (704254386948).

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

320001121020 is a wasteful number, since it uses less digits than its factorization.

320001121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187459 (or 187457 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 320001121020 its reverse (20121100023), we get a palindrome (340122221043).

The spelling of 320001121020 in words is "three hundred twenty billion, one million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 4157 8314 12471 16628 20785 24942 29099 41570 49884 58198 62355 83140 87297 116396 124710 145495 174594 183283 249420 290990 349188 366566 436485 549849 581980 733132 872970 916415 1099698 1282981 1745940 1832830 2199396 2565962 2749245 3665660 3848943 5131924 5498490 6414905 7697886 10996980 12829810 15395772 19244715 25659620 38489430 76978860 761907431 1523814862 2285722293 3047629724 3809537155 4571444586 5333352017 7619074310 9142889172 10666704034 11428611465 15238148620 16000056051 21333408068 22857222930 26666760085 32000112102 45714445860 53333520170 64000224204 80000280255 106667040340 160000560510 320001121020