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1000112021100 = 2232523135846309
BaseRepresentation
bin11101000110110110101…
…00100101111001101100
310112121110112012200112200
432203123110211321230
5112341212134133400
62043240051301500
7132153464626113
oct16433324457154
93477415180480
101000112021100
11356166188015
121419b35aa890
137340555ab0a
1436597286c7a
151b0364e2b00
hexe8db525e6c

1000112021100 has 108 divisors (see below), whose sum is σ = 3235918096320. Its totient is φ = 258093417600.

The previous prime is 1000112021081. The next prime is 1000112021177. The reversal of 1000112021100 is 11202110001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17895255 + ... + 17951054.

Almost surely, 21000112021100 is an apocalyptic number.

1000112021100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000112021100 is an abundant number, since it is smaller than the sum of its proper divisors (2235806075220).

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

1000112021100 is a wasteful number, since it uses less digits than its factorization.

1000112021100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35846360 (or 35846350 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1000112021100 its reverse (11202110001), we get a palindrome (1011314131101).

The spelling of 1000112021100 in words is "one trillion, one hundred twelve million, twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 31 36 45 50 60 62 75 90 93 100 124 150 155 180 186 225 279 300 310 372 450 465 558 620 775 900 930 1116 1395 1550 1860 2325 2790 3100 4650 5580 6975 9300 13950 27900 35846309 71692618 107538927 143385236 179231545 215077854 322616781 358463090 430155708 537694635 645233562 716926180 896157725 1075389270 1111235579 1290467124 1613083905 1792315450 2150778540 2222471158 2688473175 3226167810 3333706737 3584630900 4444942316 5376946350 5556177895 6452335620 6667413474 8065419525 10001120211 10753892700 11112355790 13334826948 16130839050 16668533685 20002240422 22224711580 27780889475 32261678100 33337067370 40004480844 50005601055 55561778950 66674134740 83342668425 100011202110 111123557900 166685336850 200022404220 250028005275 333370673700 500056010550 1000112021100