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135413522022000 = 2435396723339111
BaseRepresentation
bin11110110010100001101010…
…111000001011111001110000
3122202110101222011202200012110
4132302201222320023321300
5120222103343114201000
61200000040242325320
740344206211516405
oct3662415270137160
9582411864680173
10135413522022000
113a168608a5a382
121323006a659840
135a73595552121
14256209991c2ac
15109c63a87d850
hex7b286ae0be70

135413522022000 has 160 divisors (see below), whose sum is σ = 437024685487104. Its totient is φ = 36072928416000.

The previous prime is 135413522021977. The next prime is 135413522022001. The reversal of 135413522022000 is 220225314531.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135413522022001) 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, 5867556 + ... + 17471555.

Almost surely, 2135413522022000 is an apocalyptic number.

135413522022000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135413522022000 is an abundant number, since it is smaller than the sum of its proper divisors (301611163465104).

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

135413522022000 is a wasteful number, since it uses less digits than its factorization.

135413522022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23340104 (or 23340088 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 135413522022000 its reverse (220225314531), we get a palindrome (135633747336531).

The spelling of 135413522022000 in words is "one hundred thirty-five trillion, four hundred thirteen billion, five hundred twenty-two million, twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 967 1000 1200 1500 1934 2000 2901 3000 3868 4835 5802 6000 7736 9670 11604 14505 15472 19340 23208 24175 29010 38680 46416 48350 58020 72525 77360 96700 116040 120875 145050 193400 232080 241750 290100 362625 386800 483500 580200 725250 967000 1160400 1450500 1934000 2901000 5802000 23339111 46678222 70017333 93356444 116695555 140034666 186712888 233391110 280069332 350086665 373425776 466782220 560138664 583477775 700173330 933564440 1120277328 1166955550 1400346660 1750433325 1867128880 2333911100 2800693320 2917388875 3500866650 4667822200 5601386640 5834777750 7001733300 8752166625 9335644400 11669555500 14003466600 17504333250 22568920337 23339111000 28006933200 35008666500 45137840674 46678222000 67706761011 70017333000 90275681348 112844601685 135413522022 140034666000 180551362696 225689203370 270827044044 338533805055 361102725392 451378406740 541654088088 564223008425 677067610110 902756813480 1083308176176 1128446016850 1354135220220 1692669025275 1805513626960 2256892033700 2708270440440 2821115042125 3385338050550 4513784067400 5416540880880 5642230084250 6770676101100 8463345126375 9027568134800 11284460168500 13541352202200 16926690252750 22568920337000 27082704404400 33853380505500 45137840674000 67706761011000 135413522022000