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130288867000 = 23531773104987
BaseRepresentation
bin111100101010111010…
…0100101011010111000
3110110022001111012122121
41321111310211122320
54113312422221000
6135504234331024
712261452045125
oct1712564453270
9413261435577
10130288867000
115028973a196
1221301589a74
13c3949a5156
14643d9c174c
1535c83c3b1a
hex1e55d256b8

130288867000 has 128 divisors (see below), whose sum is σ = 327234997440. Its totient is φ = 48377548800.

The previous prime is 130288866997. The next prime is 130288867003. The reversal of 130288867000 is 768882031.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (130288866997) and next prime (130288867003).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130288867003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1188507 + ... + 1293493.

Almost surely, 2130288867000 is an apocalyptic number.

130288867000 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 130288867000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163617498720).

130288867000 is an abundant number, since it is smaller than the sum of its proper divisors (196946130440).

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

130288867000 is a wasteful number, since it uses less digits than its factorization.

130288867000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105098 (or 105084 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 43.

The spelling of 130288867000 in words is "one hundred thirty billion, two hundred eighty-eight million, eight hundred sixty-seven thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 73 85 100 125 136 146 170 200 250 292 340 365 425 500 584 680 730 850 1000 1241 1460 1700 1825 2125 2482 2920 3400 3650 4250 4964 6205 7300 8500 9125 9928 12410 14600 17000 18250 24820 31025 36500 49640 62050 73000 104987 124100 155125 209974 248200 310250 419948 524935 620500 839896 1049870 1241000 1784779 2099740 2624675 3569558 4199480 5249350 7139116 7664051 8923895 10498700 13123375 14278232 15328102 17847790 20997400 26246750 30656204 35695580 38320255 44619475 52493500 61312408 71391160 76640510 89238950 104987000 130288867 153281020 178477900 191601275 223097375 260577734 306562040 356955800 383202550 446194750 521155468 651444335 766405100 892389500 958006375 1042310936 1302888670 1532810200 1784779000 1916012750 2605777340 3257221675 3832025500 5211554680 6514443350 7664051000 13028886700 16286108375 26057773400 32572216750 65144433500 130288867000