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1000103340 = 2235371094133
BaseRepresentation
bin111011100111000…
…101110110101100
32120200212111212110
4323213011312230
54022011301330
6243123404020
733532511115
oct7347056654
92520774773
101000103340
11473594495
1223ab23610
1312c275232
1496b7720c
155cc01db0
hex3b9c5dac

1000103340 has 96 divisors (see below), whose sum is σ = 2903060160. Its totient is φ = 257043456.

The previous prime is 1000103339. The next prime is 1000103359. The reversal of 1000103340 is 433010001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 239914 + ... + 244046.

It is an arithmetic number, because the mean of its divisors is an integer number (30240210).

Almost surely, 21000103340 is an apocalyptic number.

1000103340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000103340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451530080).

1000103340 is an abundant number, since it is smaller than the sum of its proper divisors (1902956820).

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

1000103340 is a wasteful number, since it uses less digits than its factorization.

1000103340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4291 (or 4289 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1000103340 is about 31624.4105083399. The cubic root of 1000103340 is about 1000.0344454802.

Adding to 1000103340 its reverse (433010001), we get a palindrome (1433113341).

The spelling of 1000103340 in words is "one billion, one hundred three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 109 111 148 185 218 222 327 370 436 444 545 555 654 740 1090 1110 1308 1635 2180 2220 3270 4033 4133 6540 8066 8266 12099 12399 16132 16532 20165 20665 24198 24798 40330 41330 48396 49596 60495 61995 80660 82660 120990 123990 152921 241980 247980 305842 450497 458763 611684 764605 900994 917526 1351491 1529210 1801988 1835052 2252485 2293815 2702982 3058420 4504970 4587630 5405964 6757455 9009940 9175260 13514910 16668389 27029820 33336778 50005167 66673556 83341945 100010334 166683890 200020668 250025835 333367780 500051670 1000103340