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1020012431120 = 24538833328333
BaseRepresentation
bin11101101011111010111…
…10101000011100010000
310121111211102100021000122
432311331132220130100
5113202441140243440
62100330502205412
7133456600416164
oct16657536503420
93544742307018
101020012431120
11363648475671
12145828123868
1375257406767
1437524246ca4
151b7ed63a7b5
hexed7d7a8710

1020012431120 has 40 divisors (see below), whose sum is σ = 2371597195416. Its totient is φ = 407993223168.

The previous prime is 1020012431107. The next prime is 1020012431153. The reversal of 1020012431120 is 211342100201.

It can be written as a sum of positive squares in 4 ways, for example, as 282007729936 + 738004701184 = 531044^2 + 859072^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2942474 + ... + 3270806.

Almost surely, 21020012431120 is an apocalyptic number.

1020012431120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020012431120 is an abundant number, since it is smaller than the sum of its proper divisors (1351584764296).

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

1020012431120 is a wasteful number, since it uses less digits than its factorization.

1020012431120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367179 (or 367173 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 1020012431120 its reverse (211342100201), we get a palindrome (1231354531321).

The spelling of 1020012431120 in words is "one trillion, twenty billion, twelve million, four hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 38833 77666 155332 194165 310664 328333 388330 621328 656666 776660 1313332 1553320 1641665 2626664 3106640 3283330 5253328 6566660 13133320 26266640 12750155389 25500310778 51000621556 63750776945 102001243112 127501553890 204002486224 255003107780 510006215560 1020012431120