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1020424252104 = 2332291513236483
BaseRepresentation
bin11101101100101100000…
…01100110101011001000
310121112220010020221012200
432312112001212223020
5113204312102031404
62100435413040200
7133503031013355
oct16662601465310
93545803227180
101020424252104
11363839984894
12145922026060
13752c182670a
1437562c0762c
151b824886839
hexed96066ac8

1020424252104 has 96 divisors (see below), whose sum is σ = 2877881572800. Its totient is φ = 326237385600.

The previous prime is 1020424252097. The next prime is 1020424252109. The reversal of 1020424252104 is 4012524240201.

It is a happy number.

1020424252104 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 424 + 25 + 210 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (1020424252109) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1302954 + ... + 1933529.

It is an arithmetic number, because the mean of its divisors is an integer number (29977933050).

Almost surely, 21020424252104 is an apocalyptic number.

It is an amenable number.

1020424252104 is an abundant number, since it is smaller than the sum of its proper divisors (1857457320696).

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

1020424252104 is a wasteful number, since it uses less digits than its factorization.

1020424252104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3236675 (or 3236668 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 1020424252104 its reverse (4012524240201), we get a palindrome (5032948492305).

The spelling of 1020424252104 in words is "one trillion, twenty billion, four hundred twenty-four million, two hundred fifty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 151 174 232 261 302 348 453 522 604 696 906 1044 1208 1359 1812 2088 2718 3624 4379 5436 8758 10872 13137 17516 26274 35032 39411 52548 78822 105096 157644 315288 3236483 6472966 9709449 12945932 19418898 25891864 29128347 38837796 58256694 77675592 93858007 116513388 187716014 233026776 281574021 375432028 488708933 563148042 750864056 844722063 977417866 1126296084 1466126799 1689444126 1954835732 2252592168 2932253598 3378888252 3909671464 4398380397 5864507196 6757776504 8796760794 11729014392 14172559057 17593521588 28345118114 35187043176 42517677171 56690236228 85035354342 113380472456 127553031513 170070708684 255106063026 340141417368 510212126052 1020424252104