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410020011324 = 2232711197784993
BaseRepresentation
bin1011111011101110001…
…10001101110100111100
31110012022222222200111100
411331313012031310330
523204210110330244
6512205515453100
741423451410010
oct5756706156474
91405288880440
10410020011324
111489856751a0
126756aa57190
132c884514121
1415bb8c54540
15a9eb40ab69
hex5f7718dd3c

410020011324 has 144 divisors (see below), whose sum is σ = 1360194151680. Its totient is φ = 100893496320.

The previous prime is 410020011311. The next prime is 410020011341. The reversal of 410020011324 is 423110020014.

It is a super-2 number, since 2×4100200113242 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 410020011297 and 410020011306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3839829 + ... + 3945164.

It is an arithmetic number, because the mean of its divisors is an integer number (9445792720).

Almost surely, 2410020011324 is an apocalyptic number.

410020011324 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

410020011324 is an abundant number, since it is smaller than the sum of its proper divisors (950174140356).

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

410020011324 is a wasteful number, since it uses less digits than its factorization.

410020011324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7785040 (or 7785035 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 410020011324 its reverse (423110020014), we get a palindrome (833130031338).

The spelling of 410020011324 in words is "four hundred ten billion, twenty million, eleven thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 19 21 22 28 33 36 38 42 44 57 63 66 76 77 84 99 114 126 132 133 154 171 198 209 228 231 252 266 308 342 396 399 418 462 532 627 684 693 798 836 924 1197 1254 1386 1463 1596 1881 2394 2508 2772 2926 3762 4389 4788 5852 7524 8778 13167 17556 26334 52668 7784993 15569986 23354979 31139972 46709958 54494951 70064937 85634923 93419916 108989902 140129874 147914867 163484853 171269846 217979804 256904769 280259748 295829734 326969706 342539692 443744601 490454559 513809538 591659468 599444461 653939412 770714307 887489202 980909118 1027619076 1035404069 1198888922 1331233803 1541428614 1627063537 1774978404 1798333383 1961818236 2070808138 2397777844 2662467606 3082857228 3106212207 3254127074 3596666766 4141616276 4881190611 5324935212 5395000149 6212424414 6508254148 7193333532 9318636621 9762381222 10790000298 11389444759 12424848828 14643571833 18637273242 19524762444 21580000596 22778889518 29287143666 34168334277 37274546484 45557779036 58574287332 68336668554 102505002831 136673337108 205010005662 410020011324