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102221221002000 = 2435331549576457
BaseRepresentation
bin10111001111100000111011…
…100100001111101100010000
3111101221020211122111122212020
4113033200323210033230100
5101344243030034031000
61001223440341331440
730350145102140652
oct2717407344175420
9441836748448766
10102221221002000
112a63085a399041
12b56b1a8106b80
13450655c33caa9
141b35767ca46d2
15bc401dc75ba0
hex5cf83b90fb10

102221221002000 has 160 divisors (see below), whose sum is σ = 340192224113664. Its totient is φ = 26379669888000.

The previous prime is 102221221001981. The next prime is 102221221002011. The reversal of 102221221002000 is 200122122201.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 274602229 + ... + 274974228.

Almost surely, 2102221221002000 is an apocalyptic number.

102221221002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102221221002000 is an abundant number, since it is smaller than the sum of its proper divisors (237971003111664).

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

102221221002000 is a wasteful number, since it uses less digits than its factorization.

102221221002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549576514 (or 549576498 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 102221221002000 its reverse (200122122201), we get a palindrome (102421343124201).

The spelling of 102221221002000 in words is "one hundred two trillion, two hundred twenty-one billion, two hundred twenty-one million, two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 31 40 48 50 60 62 75 80 93 100 120 124 125 150 155 186 200 240 248 250 300 310 372 375 400 465 496 500 600 620 744 750 775 930 1000 1200 1240 1488 1500 1550 1860 2000 2325 2480 3000 3100 3720 3875 4650 6000 6200 7440 7750 9300 11625 12400 15500 18600 23250 31000 37200 46500 62000 93000 186000 549576457 1099152914 1648729371 2198305828 2747882285 3297458742 4396611656 5495764570 6594917484 8243646855 8793223312 10991529140 13189834968 13739411425 16487293710 17036870167 21983058280 26379669936 27478822850 32974587420 34073740334 41218234275 43966116560 51110610501 54957645700 65949174840 68147480668 68697057125 82436468550 85184350835 102221221002 109915291400 131898349680 136294961336 137394114250 164872937100 170368701670 204442442004 206091171375 219830582800 255553052505 272589922672 274788228500 329745874200 340737403340 408884884008 412182342750 425921754175 511106105010 549576457000 659491748400 681474806680 817769768016 824364685500 851843508350 1022212210020 1099152914000 1277765262525 1362949613360 1648729371000 1703687016700 2044424420040 2129608770875 2555530525050 3297458742000 3407374033400 4088848840080 4259217541750 5111061050100 6388826312625 6814748066800 8518435083500 10222122100200 12777652625250 17036870167000 20444244200400 25555305250500 34073740334000 51110610501000 102221221002000