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1016144042100 = 22352111013048737
BaseRepresentation
bin11101100100101101110…
…01111001100001110100
310121010211211021201220020
432302112321321201310
5113122030333321400
62054450553205140
7133261665563115
oct16622671714164
93533754251806
101016144042100
11361a42903750
12144b287007b0
1374a8bb45b85
143727859220c
151b673c112a0
hexec96e79874

1016144042100 has 144 divisors (see below), whose sum is σ = 3239076810816. Its totient is φ = 243898880000.

The previous prime is 1016144042033. The next prime is 1016144042117. The reversal of 1016144042100 is 12404416101.

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, 1191069 + ... + 1857668.

It is an arithmetic number, because the mean of its divisors is an integer number (22493588964).

Almost surely, 21016144042100 is an apocalyptic number.

1016144042100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1016144042100 is an abundant number, since it is smaller than the sum of its proper divisors (2222932768716).

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

1016144042100 is a wasteful number, since it uses less digits than its factorization.

1016144042100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3048866 (or 3048859 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 1016144042100 its reverse (12404416101), we get a palindrome (1028548458201).

The spelling of 1016144042100 in words is "one trillion, sixteen billion, one hundred forty-four million, forty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 101 110 132 150 165 202 220 275 300 303 330 404 505 550 606 660 825 1010 1100 1111 1212 1515 1650 2020 2222 2525 3030 3300 3333 4444 5050 5555 6060 6666 7575 10100 11110 13332 15150 16665 22220 27775 30300 33330 55550 66660 83325 111100 166650 333300 3048737 6097474 9146211 12194948 15243685 18292422 30487370 33536107 36584844 45731055 60974740 67072214 76218425 91462110 100608321 134144428 152436850 167680535 182924220 201216642 228655275 304873700 307922437 335361070 402433284 457310550 503041605 615844874 670722140 838402675 914621100 923767311 1006083210 1231689748 1539612185 1676805350 1847534622 2012166420 2515208025 3079224370 3353610700 3387146807 3695069244 4618836555 5030416050 6158448740 6774293614 7698060925 9237673110 10060832100 10161440421 13548587228 15396121850 16935734035 18475346220 20322880842 23094182775 30792243700 33871468070 40645761684 46188365550 50807202105 67742936140 84678670175 92376731100 101614404210 169357340350 203228808420 254036010525 338714680700 508072021050 1016144042100