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1000112122100 = 2252713293789739
BaseRepresentation
bin11101000110110110101…
…00111110100011110100
310112121110112101211002102
432203123110332203310
5112341212200401400
62043240053401232
7132153465526430
oct16433324764364
93477415354072
101000112122100
11356166246993
121419b3639218
1373405594a90
14365972b19c0
151b0365129d5
hexe8db53e8f4

1000112122100 has 144 divisors (see below), whose sum is σ = 2763175228800. Its totient is φ = 305604472320.

The previous prime is 1000112122099. The next prime is 1000112122159. The reversal of 1000112122100 is 12212110001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1630970 + ... + 2158769.

Almost surely, 21000112122100 is an apocalyptic number.

1000112122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000112122100 is an abundant number, since it is smaller than the sum of its proper divisors (1763063106700).

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

1000112122100 is a wasteful number, since it uses less digits than its factorization.

1000112122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3789802 (or 3789795 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1000112122100 its reverse (12212110001), we get a palindrome (1012324232101).

The spelling of 1000112122100 in words is "one trillion, one hundred twelve million, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 29 35 50 52 58 65 70 91 100 116 130 140 145 175 182 203 260 290 325 350 364 377 406 455 580 650 700 725 754 812 910 1015 1300 1450 1508 1820 1885 2030 2275 2639 2900 3770 4060 4550 5075 5278 7540 9100 9425 10150 10556 13195 18850 20300 26390 37700 52780 65975 131950 263900 3789739 7579478 15158956 18948695 26528173 37897390 49266607 53056346 75794780 94743475 98533214 106112692 109902431 132640865 189486950 197066428 219804862 246333035 265281730 344866249 378973900 439609724 492666070 530563460 549512155 663204325 689732498 769317017 985332140 1099024310 1231665175 1326408650 1379464996 1428731603 1538634034 1724331245 2198048620 2463330350 2652817300 2747560775 2857463206 3077268068 3448662490 3846585085 4926660700 5495121550 5714926412 6897324980 7143658015 7693170170 8621656225 10001121221 10990243100 14287316030 15386340340 17243312450 19232925425 20002242442 28574632060 34486624900 35718290075 38465850850 40004484884 50005606105 71436580150 76931701700 100011212210 142873160300 200022424420 250028030525 500056061050 1000112122100