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11211131120 = 245722678831
BaseRepresentation
bin10100111000011110…
…00100100011110000
31001221022201110200112
422130033010203300
5140430022143440
65052245240452
7544552020320
oct123417044360
931838643615
1011211131120
114833433822
12220a703128
1310988ab2c7
14784d4d280
15459396965
hex29c3c48f0

11211131120 has 80 divisors (see below), whose sum is σ = 29806092288. Its totient is φ = 3841685760.

The previous prime is 11211131119. The next prime is 11211131137. The reversal of 11211131120 is 2113111211.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 11211131095 and 11211131104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1265105 + ... + 1273935.

Almost surely, 211211131120 is an apocalyptic number.

11211131120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11211131120 is an abundant number, since it is smaller than the sum of its proper divisors (18594961168).

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

11211131120 is a wasteful number, since it uses less digits than its factorization.

11211131120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11118 (or 11112 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 11211131120 its reverse (2113111211), we get a palindrome (13324242331).

The spelling of 11211131120 in words is "eleven billion, two hundred eleven million, one hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 2267 4534 8831 9068 11335 15869 17662 18136 22670 31738 35324 36272 44155 45340 61817 63476 70648 79345 88310 90680 123634 126952 141296 158690 176620 181360 247268 253904 309085 317380 353240 494536 618170 634760 706480 989072 1236340 1269520 2472680 4945360 20019877 40039754 80079508 100099385 140139139 160159016 200198770 280278278 320318032 400397540 560556556 700695695 800795080 1121113112 1401391390 1601590160 2242226224 2802782780 5605565560 11211131120