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1013217030 = 232575927259
BaseRepresentation
bin111100011001000…
…111011100000110
32121121112202110200
4330121013130012
54033340421110
6244312431330
734052126340
oct7431073406
92547482420
101013217030
1147aa30a51
122433a8546
13131bb7107
14987cc290
155de426c0
hex3c647706

1013217030 has 96 divisors (see below), whose sum is σ = 3061843200. Its totient is φ = 227658816.

The previous prime is 1013216921. The next prime is 1013217031. The reversal of 1013217030 is 307123101.

1013217030 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 1013216994 and 1013217012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013217031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23541 + ... + 50799.

It is an arithmetic number, because the mean of its divisors is an integer number (31894200).

Almost surely, 21013217030 is an apocalyptic number.

1013217030 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 1013217030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1530921600).

1013217030 is an abundant number, since it is smaller than the sum of its proper divisors (2048626170).

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

1013217030 is a wasteful number, since it uses less digits than its factorization.

1013217030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27338 (or 27335 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 1013217030 is about 31831.0701987853. The cubic root of 1013217030 is about 1004.3864079595.

The spelling of 1013217030 in words is "one billion, thirteen million, two hundred seventeen thousand, thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 59 63 70 90 105 118 126 177 210 295 315 354 413 531 590 630 826 885 1062 1239 1770 2065 2478 2655 3717 4130 5310 6195 7434 12390 18585 27259 37170 54518 81777 136295 163554 190813 245331 272590 381626 408885 490662 572439 817770 954065 1144878 1226655 1608281 1717317 1908130 2453310 2862195 3216562 3434634 4824843 5724390 8041405 8586585 9649686 11257967 14474529 16082810 17173170 22515934 24124215 28949058 33773901 48248430 56289835 67547802 72372645 101321703 112579670 144745290 168869505 202643406 337739010 506608515 1013217030