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1011200100200 = 235243234150227
BaseRepresentation
bin11101011011100000011…
…10010000011101101000
310120200002021101110120222
432231300032100131220
5113031414211201300
62052312223305212
7133025324014253
oct16556016203550
93520067343528
101011200100200
1135a936104a54
12143b88a4b208
13744817b3c74
1436d29b2409a
151b484b7e785
hexeb70390768

1011200100200 has 96 divisors (see below), whose sum is σ = 2406791148960. Its totient is φ = 394896902400.

The previous prime is 1011200100199. The next prime is 1011200100223. The reversal of 1011200100200 is 20010021101.

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

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, 20107487 + ... + 20157713.

It is an arithmetic number, because the mean of its divisors is an integer number (25070741135).

Almost surely, 21011200100200 is an apocalyptic number.

1011200100200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1011200100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1203395574480).

1011200100200 is an abundant number, since it is smaller than the sum of its proper divisors (1395591048760).

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

1011200100200 is a wasteful number, since it uses less digits than its factorization.

1011200100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52627 (or 52618 counting only the distinct ones).

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

Adding to 1011200100200 its reverse (20010021101), we get a palindrome (1031210121301).

The spelling of 1011200100200 in words is "one trillion, eleven billion, two hundred million, one hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 172 200 215 344 430 860 1075 1720 2150 2341 4300 4682 8600 9364 11705 18728 23410 46820 50227 58525 93640 100454 100663 117050 200908 201326 234100 251135 401816 402652 468200 502270 503315 805304 1004540 1006630 1255675 2009080 2013260 2159761 2511350 2516575 4026520 4319522 5022700 5033150 8639044 10045400 10066300 10798805 17278088 20132600 21597610 43195220 53994025 86390440 107988050 117581407 215976100 235162814 431952200 470325628 587907035 940651256 1175814070 2351628140 2939535175 4703256280 5056000501 5879070350 10112001002 11758140700 20224002004 23516281400 25280002505 40448004008 50560005010 101120010020 126400012525 202240020040 252800025050 505600050100 1011200100200