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1011000030 = 235172294021
BaseRepresentation
bin111100010000101…
…010001011011110
32121110101010022120
4330100222023132
54032304000110
6244153123410
734024233645
oct7420521336
92543333276
101011000030
11479757317
122426b9566
131315bbc91
14983b235c
155db55870
hex3c42a2de

1011000030 has 96 divisors (see below), whose sum is σ = 2667068640. Its totient is φ = 244930560.

The previous prime is 1011000007. The next prime is 1011000041. The reversal of 1011000030 is 300001101.

1011000030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1010999982 and 1011000018.

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, 249420 + ... + 253440.

It is an arithmetic number, because the mean of its divisors is an integer number (27781965).

Almost surely, 21011000030 is an apocalyptic number.

1011000030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1011000030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1333534320).

1011000030 is an abundant number, since it is smaller than the sum of its proper divisors (1656068610).

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

1011000030 is a wasteful number, since it uses less digits than its factorization.

1011000030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4094 (or 4077 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 6.

The square root of 1011000030 is about 31796.2266629234. The cubic root of 1011000030 is about 1003.6533137124.

Adding to 1011000030 its reverse (300001101), we get a palindrome (1311001131).

The spelling of 1011000030 in words is "one billion, eleven million, thirty", and thus it is an aban number and an uban number.

Divisors: 1 2 3 5 6 10 15 17 29 30 34 51 58 85 87 102 145 170 174 255 289 290 435 493 510 578 867 870 986 1445 1479 1734 2465 2890 2958 4021 4335 4930 7395 8042 8381 8670 12063 14790 16762 20105 24126 25143 40210 41905 50286 60315 68357 83810 116609 120630 125715 136714 205071 233218 251430 341785 349827 410142 583045 683570 699654 1025355 1162069 1166090 1749135 1982353 2050710 2324138 3486207 3498270 3964706 5810345 5947059 6972414 9911765 11620690 11894118 17431035 19823530 29735295 33700001 34862070 59470590 67400002 101100003 168500005 202200006 337000010 505500015 1011000030