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130102313220 = 2232511473313883
BaseRepresentation
bin111100100101010110…
…0111100000100000100
3110102211001110021222100
41321022230330010010
54112422143010340
6135433532032100
712254025262425
oct1711254740404
9412731407870
10130102313220
11501a3400610
122126b002630
13c3651481b9
146422cdd64c
1535b6d23830
hex1e4ab3c104

130102313220 has 144 divisors (see below), whose sum is σ = 430642360512. Its totient is φ = 31531019520.

The previous prime is 130102313219. The next prime is 130102313279. The reversal of 130102313220 is 22313201031.

130102313220 is a `hidden beast` number, since 1 + 30 + 102 + 313 + 220 = 666.

It is a super-2 number, since 2×1301023132202 (a number of 23 digits) contains 22 as substring.

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 = 130102313193 and 130102313202.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9364399 + ... + 9378281.

It is an arithmetic number, because the mean of its divisors is an integer number (2990571948).

Almost surely, 2130102313220 is an apocalyptic number.

130102313220 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 130102313220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215321180256).

130102313220 is an abundant number, since it is smaller than the sum of its proper divisors (300540047292).

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

130102313220 is a wasteful number, since it uses less digits than its factorization.

130102313220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18642 (or 18637 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 130102313220 its reverse (22313201031), we get a palindrome (152415514251).

The spelling of 130102313220 in words is "one hundred thirty billion, one hundred two million, three hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 4733 9466 13883 14199 18932 23665 27766 28398 41649 42597 47330 52063 55532 56796 69415 70995 83298 85194 94660 104126 124947 138830 141990 152713 156189 166596 170388 208245 208252 212985 249894 260315 277660 283980 305426 312378 416490 425970 458139 468567 499788 520630 610852 624735 624756 763565 780945 832980 851940 916278 937134 1041260 1249470 1374417 1527130 1561890 1832556 1874268 2290695 2342835 2498940 2748834 3054260 3123780 4581390 4685670 5497668 6872085 9162780 9371340 13744170 27488340 65708239 131416478 197124717 262832956 328541195 394249434 591374151 657082390 722790629 788498868 985623585 1182748302 1314164780 1445581258 1971247170 2168371887 2365496604 2891162516 2956870755 3613953145 3942494340 4336743774 5913741510 6505115661 7227906290 8673487548 10841859435 11827483020 13010231322 14455812580 21683718870 26020462644 32525578305 43367437740 65051156610 130102313220