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10000101421200 = 2435211757583441
BaseRepresentation
bin1001000110000101010001…
…1111100011000010010000
31022102000000021001222120010
42101201110133203002100
52302320201430434300
633133552210514520
72051324556406032
oct221412437430220
938360007058503
1010000101421200
1132060236062a0
121156105895a40
1357700c178b77
142680167adc52
151251d3cc8a50
hex918547e3090

10000101421200 has 120 divisors (see below), whose sum is σ = 34945809012576. Its totient is φ = 2424267008000.

The previous prime is 10000101421169. The next prime is 10000101421229. The reversal of 10000101421200 is 212410100001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 378778521 + ... + 378804920.

Almost surely, 210000101421200 is an apocalyptic number.

10000101421200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10000101421200 is an abundant number, since it is smaller than the sum of its proper divisors (24945707591376).

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

10000101421200 is a wasteful number, since it uses less digits than its factorization.

10000101421200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757583473 (or 757583462 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10000101421200 its reverse (212410100001), we get a palindrome (10212511521201).

The spelling of 10000101421200 in words is "ten trillion, one hundred one million, four hundred twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 132 150 165 176 200 220 240 264 275 300 330 400 440 528 550 600 660 825 880 1100 1200 1320 1650 2200 2640 3300 4400 6600 13200 757583441 1515166882 2272750323 3030333764 3787917205 4545500646 6060667528 7575834410 8333417851 9091001292 11363751615 12121335056 15151668820 16666835702 18182002584 18939586025 22727503230 25000253553 30303337640 33333671404 36364005168 37879172050 41667089255 45455006460 50000507106 56818758075 60606675280 66667342808 75758344100 83334178510 90910012920 100001014212 113637516150 125001267765 133334685616 151516688200 166668357020 181820025840 200002028424 208335446275 227275032300 250002535530 303033376400 333336714040 400004056848 416670892550 454550064600 500005071060 625006338825 666673428080 833341785100 909100129200 1000010142120 1250012677650 1666683570200 2000020284240 2500025355300 3333367140400 5000050710600 10000101421200