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10000100221100 = 22521131293258071
BaseRepresentation
bin1001000110000101010001…
…1010111110000010101100
31022102000000011211000022222
42101201110122332002230
52302320201124033400
633133552125054512
72051324543250143
oct221412432760254
938360004730288
1010000100221100
113206022966680
1211561053b7438
1357700bb48852
1426801657a75a
151251d3b3d185
hex918546be0ac

10000100221100 has 72 divisors (see below), whose sum is σ = 24436608623616. Its totient is φ = 3519096840000.

The previous prime is 10000100221087. The next prime is 10000100221247. The reversal of 10000100221100 is 112200100001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146594936 + ... + 146663135.

Almost surely, 210000100221100 is an apocalyptic number.

10000100221100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10000100221100 is an abundant number, since it is smaller than the sum of its proper divisors (14436508402516).

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

10000100221100 is a wasteful number, since it uses less digits than its factorization.

10000100221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293258127 (or 293258120 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10000100221100 its reverse (112200100001), we get a palindrome (10112300321101).

The spelling of 10000100221100 in words is "ten trillion, one hundred million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 31 44 50 55 62 100 110 124 155 220 275 310 341 550 620 682 775 1100 1364 1550 1705 3100 3410 6820 8525 17050 34100 293258071 586516142 1173032284 1466290355 2932580710 3225838781 5865161420 6451677562 7331451775 9091000201 12903355124 14662903550 16129193905 18182000402 29325807100 32258387810 36364000804 45455001005 64516775620 80645969525 90910002010 100001002211 161291939050 181820004020 200002004422 227275005025 322583878100 400004008844 454550010050 500005011055 909100020100 1000010022110 2000020044220 2500025055275 5000050110550 10000100221100