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11213000020 = 22523731312549
BaseRepresentation
bin10100111000101100…
…01100110101010100
31001221110020102100001
422130112030311110
5140431012000040
65052353301044
7544603633105
oct123426146524
931843212301
1011213000020
11483449a972
12220b264784
1310990b3b71
147852b83ac
1545961559a
hex29c58cd54

11213000020 has 96 divisors (see below), whose sum is σ = 25107667200. Its totient is φ = 4197473280.

The previous prime is 11212999991. The next prime is 11213000027. The reversal of 11213000020 is 2000031211.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 11212999970 and 11213000006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11213000027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4397706 + ... + 4400254.

It is an arithmetic number, because the mean of its divisors is an integer number (261538200).

Almost surely, 211213000020 is an apocalyptic number.

11213000020 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 11213000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12553833600).

11213000020 is an abundant number, since it is smaller than the sum of its proper divisors (13894667180).

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

11213000020 is a wasteful number, since it uses less digits than its factorization.

11213000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2785 (or 2783 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 11213000020 its reverse (2000031211), we get a palindrome (13213031231).

The spelling of 11213000020 in words is "eleven billion, two hundred thirteen million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 23 46 73 92 115 131 146 230 262 292 365 460 524 655 730 1310 1460 1679 2549 2620 3013 3358 5098 6026 6716 8395 9563 10196 12052 12745 15065 16790 19126 25490 30130 33580 38252 47815 50980 58627 60260 95630 117254 186077 191260 219949 234508 293135 333919 372154 439898 586270 667838 744308 879796 930385 1099745 1172540 1335676 1669595 1860770 2199490 3339190 3721540 4279771 4398980 6678380 7680137 8559542 15360274 17119084 21398855 24376087 30720548 38400685 42797710 48752174 76801370 85595420 97504348 121880435 153602740 243760870 487521740 560650001 1121300002 2242600004 2803250005 5606500010 11213000020