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1000200202100 = 22521119223214603
BaseRepresentation
bin11101000111000001001…
…00111110011101110100
310112121200200010202010122
432203200210332131310
5112341402222431400
62043252521311112
7132155615304431
oct16434044763564
93477620122118
101000200202100
11356200a36780
12141a19035498
137341a8c3b18
14365a4c7cb88
151b03e110685
hexe8e093e774

1000200202100 has 144 divisors (see below), whose sum is σ = 2503553095680. Its totient is φ = 343019836800.

The previous prime is 1000200202093. The next prime is 1000200202103. The reversal of 1000200202100 is 12020020001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000200202103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4553399 + ... + 4768001.

Almost surely, 21000200202100 is an apocalyptic number.

1000200202100 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 1000200202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1251776547840).

1000200202100 is an abundant number, since it is smaller than the sum of its proper divisors (1503352893580).

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

1000200202100 is a wasteful number, since it uses less digits than its factorization.

1000200202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214870 (or 214863 counting only the distinct ones).

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

Adding to 1000200202100 its reverse (12020020001), we get a palindrome (1012220222101).

The spelling of 1000200202100 in words is "one trillion, two hundred million, two hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 11 19 20 22 25 38 44 50 55 76 95 100 110 190 209 220 223 275 380 418 446 475 550 836 892 950 1045 1100 1115 1900 2090 2230 2453 4180 4237 4460 4906 5225 5575 8474 9812 10450 11150 12265 16948 20900 21185 22300 24530 42370 46607 49060 61325 84740 93214 105925 122650 186428 211850 214603 233035 245300 423700 429206 466070 858412 932140 1073015 1165175 2146030 2330350 2360633 4077457 4292060 4660700 4721266 5365075 8154914 9442532 10730150 11803165 16309828 20387285 21460300 23606330 40774570 44852027 47212660 47856469 59015825 81549140 89704054 95712938 101936425 118031650 179408108 191425876 203872850 224260135 236063300 239282345 407745700 448520270 478564690 526421159 897040540 909272911 957129380 1052842318 1121300675 1196411725 1818545822 2105684636 2242601350 2392823450 2632105795 3637091644 4485202700 4546364555 4785646900 5264211590 9092729110 10002002021 10528423180 13160528975 18185458220 20004004042 22731822775 26321057950 40008008084 45463645550 50010010105 52642115900 90927291100 100020020210 200040040420 250050050525 500100101050 1000200202100