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1211000110020 = 2232561110291449
BaseRepresentation
bin10001100111110101001…
…110110011101111000100
311021202210200100121010200
4101213311032303233010
5124320112012010040
62324154211050500
7153330466044441
oct21476516635704
94252720317120
101211000110020
11427644a9a608
121768495a0a30
138a27355044c
14428814269c8
152177a79c630
hex119f53b3bc4

1211000110020 has 72 divisors (see below), whose sum is σ = 3733586165400. Its totient is φ = 317639370240.

The previous prime is 1211000109983. The next prime is 1211000110027. The reversal of 1211000110020 is 200110001121.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 17644871556 + 1193355238464 = 132834^2 + 1092408^2 .

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 = 1211000109984 and 1211000110011.

It is not an unprimeable number, because it can be changed into a prime (1211000110027) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 55134745 + ... + 55156704.

Almost surely, 21211000110020 is an apocalyptic number.

1211000110020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1211000110020 is an abundant number, since it is smaller than the sum of its proper divisors (2522586055380).

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

1211000110020 is a wasteful number, since it uses less digits than its factorization.

1211000110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110291525 (or 110291520 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1211000110020 its reverse (200110001121), we get a palindrome (1411110111141).

The spelling of 1211000110020 in words is "one trillion, two hundred eleven billion, one hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 61 90 122 180 183 244 305 366 549 610 732 915 1098 1220 1830 2196 2745 3660 5490 10980 110291449 220582898 330874347 441165796 551457245 661748694 992623041 1102914490 1323497388 1654371735 1985246082 2205828980 3308743470 3970492164 4963115205 6617486940 6727778389 9926230410 13455556778 19852460820 20183335167 26911113556 33638891945 40366670334 60550005501 67277783890 80733340668 100916675835 121100011002 134555567780 201833351670 242200022004 302750027505 403666703340 605500055010 1211000110020