Search a number
-
+
130823383220 = 22573837431453
BaseRepresentation
bin111100111010110101…
…1100110100010110100
3110111200022021110001122
41321311223212202310
54120411241230340
6140033251043112
712310632260345
oct1716553464264
9414608243048
10130823383220
1150533431132
12214305a0498
13c44b653a3a
1464909a00cc
15360a2a8db5
hex1e75ae68b4

130823383220 has 96 divisors (see below), whose sum is σ = 282421423872. Its totient is φ = 50887001088.

The previous prime is 130823383219. The next prime is 130823383253. The reversal of 130823383220 is 22383328031.

It is a super-2 number, since 2×1308233832202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 90036014 + ... + 90037466.

It is an arithmetic number, because the mean of its divisors is an integer number (2941889832).

Almost surely, 2130823383220 is an apocalyptic number.

130823383220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130823383220 is an abundant number, since it is smaller than the sum of its proper divisors (151598040652).

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

130823383220 is a wasteful number, since it uses less digits than its factorization.

130823383220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2361 (or 2359 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 35.

The spelling of 130823383220 in words is "one hundred thirty billion, eight hundred twenty-three million, three hundred eighty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 73 83 146 166 292 332 365 415 730 743 830 1453 1460 1486 1660 2906 2972 3715 5812 6059 7265 7430 12118 14530 14860 24236 29060 30295 54239 60590 61669 106069 108478 120599 121180 123338 212138 216956 241198 246676 271195 308345 424276 482396 530345 542390 602995 616690 1060690 1079579 1084780 1205990 1233380 2121380 2159158 2411980 4318316 4501837 5397895 8803727 9003674 10795790 17607454 18007348 21591580 22509185 35214908 44018635 45018370 78809267 88037270 89605057 90036740 157618534 176074540 179210114 315237068 358420228 394046335 448025285 788092670 896050570 1576185340 1792101140 6541169161 13082338322 26164676644 32705845805 65411691610 130823383220