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100201112000 = 2653111138649
BaseRepresentation
bin101110101010001110…
…0111010000111000000
3100120122012001220001022
41131110130322013000
53120202441041000
6114010505325012
710145035253603
oct1352434720700
9316565056038
10100201112000
1139549a08570
1217505196768
1395ab395c22
144bc7a5233a
152916c13585
hex175473a1c0

100201112000 has 112 divisors (see below), whose sum is σ = 270707205600. Its totient is φ = 36436736000.

The previous prime is 100201111987. The next prime is 100201112051. The reversal of 100201112000 is 211102001.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 481325 + ... + 657324.

Almost surely, 2100201112000 is an apocalyptic number.

100201112000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100201112000 is an abundant number, since it is smaller than the sum of its proper divisors (170506093600).

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

100201112000 is a wasteful number, since it uses less digits than its factorization.

100201112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138687 (or 1138667 counting only the distinct ones).

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

Adding to 100201112000 its reverse (211102001), we get a palindrome (100412214001).

Subtracting from 100201112000 its reverse (211102001), we obtain a palindrome (99990009999).

The spelling of 100201112000 in words is "one hundred billion, two hundred one million, one hundred twelve thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 160 176 200 220 250 275 320 352 400 440 500 550 704 800 880 1000 1100 1375 1600 1760 2000 2200 2750 3520 4000 4400 5500 8000 8800 11000 17600 22000 44000 88000 1138649 2277298 4554596 5693245 9109192 11386490 12525139 18218384 22772980 25050278 28466225 36436768 45545960 50100556 56932450 62625695 72873536 91091920 100201112 113864900 125251390 142331125 182183840 200402224 227729800 250502780 284662250 313128475 364367680 400804448 455459600 501005560 569324500 626256950 801608896 910919200 1002011120 1138649000 1252513900 1565642375 1821838400 2004022240 2277298000 2505027800 3131284750 4008044480 4554596000 5010055600 6262569500 9109192000 10020111200 12525139000 20040222400 25050278000 50100556000 100201112000