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1100202012 = 22327131672011
BaseRepresentation
bin100000110010011…
…1100000000011100
32211200020001102200
41001210330000130
54223122431022
6301101051500
736156364020
oct10144740034
92750201380
101100202012
11515043068
12268556b90
13146c21910
14a6192380
15668c5bac
hex4193c01c

1100202012 has 144 divisors (see below), whose sum is σ = 3445059072. Its totient is φ = 288282240.

The previous prime is 1100202007. The next prime is 1100202023. The reversal of 1100202012 is 2102020011.

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

It is a junction number, because it is equal to n+sod(n) for n = 1100201985 and 1100202003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 546087 + ... + 548097.

Almost surely, 21100202012 is an apocalyptic number.

1100202012 is a gapful number since it is divisible by the number (12) 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 1100202012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1722529536).

1100202012 is an abundant number, since it is smaller than the sum of its proper divisors (2344857060).

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

1100202012 is a wasteful number, since it uses less digits than its factorization.

1100202012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2208 (or 2203 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1100202012 is about 33169.2932092319. The cubic root of 1100202012 is about 1032.3433033977.

Adding to 1100202012 its reverse (2102020011), we get a palindrome (3202222023).

The spelling of 1100202012 in words is "one billion, one hundred million, two hundred two thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 167 182 234 252 273 334 364 468 501 546 668 819 1002 1092 1169 1503 1638 2004 2011 2171 2338 3006 3276 3507 4022 4342 4676 6012 6033 6513 7014 8044 8684 10521 12066 13026 14028 14077 15197 18099 19539 21042 24132 26052 26143 28154 30394 36198 39078 42084 42231 45591 52286 56308 60788 72396 78156 78429 84462 91182 104572 126693 136773 156858 168924 182364 183001 235287 253386 273546 313716 335837 366002 470574 506772 547092 549003 671674 732004 941148 1007511 1098006 1343348 1647009 2015022 2196012 2350859 3022533 3294018 4030044 4365881 4701718 6045066 6588036 7052577 8731762 9403436 12090132 13097643 14105154 17463524 21157731 26195286 28210308 30561167 39292929 42315462 52390572 61122334 78585858 84630924 91683501 122244668 157171716 183367002 275050503 366734004 550101006 1100202012