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1000133420 = 2251113349697
BaseRepresentation
bin111011100111001…
…101001100101100
32120200221001010112
4323213031030230
54022013232140
6243124155152
733532664606
oct7347151454
92520831115
101000133420
11473605050
1223ab38ab8
1312c285b30
1496b84176
155cc0ac65
hex3b9cd32c

1000133420 has 48 divisors (see below), whose sum is σ = 2467469088. Its totient is φ = 335708160.

The previous prime is 1000133417. The next prime is 1000133437. The reversal of 1000133420 is 243310001.

It is a junction number, because it is equal to n+sod(n) for n = 1000133395 and 1000133404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171989 + ... + 177708.

It is an arithmetic number, because the mean of its divisors is an integer number (51405606).

Almost surely, 21000133420 is an apocalyptic number.

1000133420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000133420 is an abundant number, since it is smaller than the sum of its proper divisors (1467335668).

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

1000133420 is a wasteful number, since it uses less digits than its factorization.

1000133420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349730 (or 349728 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 1000133420 is about 31624.8860867514. The cubic root of 1000133420 is about 1000.0444713556.

Adding to 1000133420 its reverse (243310001), we get a palindrome (1243443421).

The spelling of 1000133420 in words is "one billion, one hundred thirty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 260 286 572 715 1430 2860 349697 699394 1398788 1748485 3496970 3846667 4546061 6993940 7693334 9092122 15386668 18184244 19233335 22730305 38466670 45460610 50006671 76933340 90921220 100013342 200026684 250033355 500066710 1000133420