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1031021413000 = 23537314123581
BaseRepresentation
bin11110000000011011010…
…10100100001010001000
310122120020122200111002021
433000031222210022020
5113343012440204000
62105351131014224
7134326446261235
oct17001552441210
93576218614067
101031021413000
113682877886a7
1214799ab9a374
13762c0157417
1437c8a3b478c
151bc44da111a
hexf00daa4288

1031021413000 has 64 divisors (see below), whose sum is σ = 2445639459120. Its totient is φ = 406759104000.

The previous prime is 1031021412991. The next prime is 1031021413003. The reversal of 1031021413000 is 3141201301.

It can be written as a sum of positive squares in 8 ways, for example, as 223277040484 + 807744372516 = 472522^2 + 898746^2 .

It is not an unprimeable number, because it can be changed into a prime (1031021413003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6988791 + ... + 7134790.

Almost surely, 21031021413000 is an apocalyptic number.

1031021413000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1031021413000 is an abundant number, since it is smaller than the sum of its proper divisors (1414618046120).

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

1031021413000 is a wasteful number, since it uses less digits than its factorization.

1031021413000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14123675 (or 14123661 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1031021413000 its reverse (3141201301), we get a palindrome (1034162614301).

The spelling of 1031021413000 in words is "one trillion, thirty-one billion, twenty-one million, four hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 73 100 125 146 200 250 292 365 500 584 730 1000 1460 1825 2920 3650 7300 9125 14600 18250 36500 73000 14123581 28247162 56494324 70617905 112988648 141235810 282471620 353089525 564943240 706179050 1031021413 1412358100 1765447625 2062042826 2824716200 3530895250 4124085652 5155107065 7061790500 8248171304 10310214130 14123581000 20620428260 25775535325 41240856520 51551070650 103102141300 128877676625 206204282600 257755353250 515510706500 1031021413000