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1011012030 = 23457414349
BaseRepresentation
bin111100010000101…
…101000110111110
32121110101201210000
4330100231012332
54032304341110
6244153255130
734024313640
oct7420550676
92543351700
101011012030
11479765336
122427044a6
131315c4592
14983b6890
155db591c0
hex3c42d1be

1011012030 has 160 divisors (see below), whose sum is σ = 3183364800. Its totient is φ = 225400320.

The previous prime is 1011011999. The next prime is 1011012031. The reversal of 1011012030 is 302101101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011012031) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 230296 + ... + 234644.

It is an arithmetic number, because the mean of its divisors is an integer number (19896030).

Almost surely, 21011012030 is an apocalyptic number.

1011012030 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 1011012030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1591682400).

1011012030 is an abundant number, since it is smaller than the sum of its proper divisors (2172352770).

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

1011012030 is a wasteful number, since it uses less digits than its factorization.

1011012030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4416 (or 4407 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 1011012030 is about 31796.4153639998. The cubic root of 1011012030 is about 1003.6572846295.

Adding to 1011012030 its reverse (302101101), we get a palindrome (1313113131).

The spelling of 1011012030 in words is "one billion, eleven million, twelve thousand, thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 41 42 45 54 63 70 81 82 90 105 123 126 135 162 189 205 210 246 270 287 315 369 378 405 410 567 574 615 630 738 810 861 945 1107 1134 1230 1435 1722 1845 1890 2214 2583 2835 2870 3321 3690 4305 4349 5166 5535 5670 6642 7749 8610 8698 11070 12915 13047 15498 16605 21745 23247 25830 26094 30443 33210 38745 39141 43490 46494 60886 65235 77490 78282 91329 116235 117423 130470 152215 178309 182658 195705 232470 234846 273987 304430 352269 356618 391410 456645 534927 547974 587115 704538 821961 891545 913290 1069854 1174230 1248163 1369935 1604781 1643922 1761345 1783090 2465883 2496326 2674635 2739870 3209562 3522690 3744489 4109805 4814343 4931766 5349270 6240815 7488978 8023905 8219610 9628686 11233467 12329415 12481630 14443029 16047810 18722445 22466934 24071715 24658830 28886058 33700401 37444890 48143430 56167335 67400802 72215145 101101203 112334670 144430290 168502005 202202406 337004010 505506015 1011012030