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1311022230 = 235719476991
BaseRepresentation
bin100111000100100…
…1001110010010110
310101100220211101220
41032021021302112
510141110202410
6334031431210
744326335150
oct11611116226
93340824356
101311022230
11613046451
12307085506
1317b7c6bcb
14c618dad0
157a16b070
hex4e249c96

1311022230 has 128 divisors (see below), whose sum is σ = 3866296320. Its totient is φ = 277810560.

The previous prime is 1311022217. The next prime is 1311022247. The reversal of 1311022230 is 322201131.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 184035 + ... + 191025.

It is an arithmetic number, because the mean of its divisors is an integer number (30205440).

Almost surely, 21311022230 is an apocalyptic number.

1311022230 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 1311022230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1933148160).

1311022230 is an abundant number, since it is smaller than the sum of its proper divisors (2555274090).

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

1311022230 is a wasteful number, since it uses less digits than its factorization.

1311022230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7074.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1311022230 is about 36208.0409577762. The cubic root of 1311022230 is about 1094.4687149735.

Adding to 1311022230 its reverse (322201131), we get a palindrome (1633223361).

The spelling of 1311022230 in words is "one billion, three hundred eleven million, twenty-two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 30 35 38 42 47 57 70 94 95 105 114 133 141 190 210 235 266 282 285 329 399 470 570 658 665 705 798 893 987 1330 1410 1645 1786 1974 1995 2679 3290 3990 4465 4935 5358 6251 6991 8930 9870 12502 13395 13982 18753 20973 26790 31255 34955 37506 41946 48937 62510 69910 93765 97874 104865 132829 146811 187530 209730 244685 265658 293622 328577 398487 489370 657154 664145 734055 796974 929803 985731 1328290 1468110 1642885 1859606 1971462 1992435 2300039 2789409 3285770 3984870 4600078 4649015 4928655 5578818 6242963 6900117 9298030 9857310 11500195 12485926 13800234 13947045 18728889 23000390 27894090 31214815 34500585 37457778 43700741 62429630 69001170 87401482 93644445 131102223 187288890 218503705 262204446 437007410 655511115 1311022230