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130021132222000 = 2453298925188131
BaseRepresentation
bin11101100100000011100111…
…011001100011111000110000
3122001100220021021000101121201
4131210003213121203320300
5114020231234322101000
61140310514502500544
736246500602503235
oct3544034731437060
9561326237011551
10130021132222000
113847971a54a408
12126bab72134754
135771c2b6b2c66
1424170b09ad78c
15100723491296a
hex7640e7663e30

130021132222000 has 160 divisors (see below), whose sum is σ = 328886477150400. Its totient is φ = 49650841856000.

The previous prime is 130021132221977. The next prime is 130021132222081. The reversal of 130021132222000 is 222231120031.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7432066 + ... + 17756065.

It is an arithmetic number, because the mean of its divisors is an integer number (2055540482190).

Almost surely, 2130021132222000 is an apocalyptic number.

130021132222000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130021132222000 is an abundant number, since it is smaller than the sum of its proper divisors (198865344928400).

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

130021132222000 is a wasteful number, since it uses less digits than its factorization.

130021132222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25188272 (or 25188256 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 130021132222000 its reverse (222231120031), we get a palindrome (130243363342031).

The spelling of 130021132222000 in words is "one hundred thirty trillion, twenty-one billion, one hundred thirty-two million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 58 80 89 100 116 125 145 178 200 232 250 290 356 400 445 464 500 580 712 725 890 1000 1160 1424 1450 1780 2000 2225 2320 2581 2900 3560 3625 4450 5162 5800 7120 7250 8900 10324 11125 11600 12905 14500 17800 20648 22250 25810 29000 35600 41296 44500 51620 58000 64525 89000 103240 129050 178000 206480 258100 322625 516200 645250 1032400 1290500 2581000 5162000 25188131 50376262 100752524 125940655 201505048 251881310 403010096 503762620 629703275 730455799 1007525240 1259406550 1460911598 2015050480 2241743659 2518813100 2921823196 3148516375 3652278995 4483487318 5037626200 5843646392 6297032750 7304557990 8966974636 10075252400 11208718295 11687292784 12594065500 14609115980 17933949272 18261394975 22417436590 25188131000 29218231960 35867898544 36522789950 44834873180 50376262000 56043591475 58436463920 65010566111 73045579900 89669746360 91306974875 112087182950 130021132222 146091159800 179339492720 182613949750 224174365900 260042264444 280217957375 292182319600 325052830555 365227899500 448348731800 520084528888 560435914750 650105661110 730455799000 896697463600 1040169057776 1120871829500 1300211322220 1460911598000 1625264152775 2241743659000 2600422644440 3250528305550 4483487318000 5200845288880 6501056611100 8126320763875 13002113222200 16252641527750 26004226444400 32505283055500 65010566111000 130021132222000