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11220000010010 = 25112101149616169
BaseRepresentation
bin1010001101000101110000…
…0111010110111100011010
31110201121210002111010210022
42203101130013112330122
52432312030000310020
635510221415150442
72235422026335401
oct243213407267432
943647702433708
1011220000010010
113636414556700
121312617375422
1363507012257c
142ab09d942638
15146cd089c625
hexa345c1d6f1a

11220000010010 has 96 divisors (see below), whose sum is σ = 22569197994000. Its totient is φ = 4012486016000.

The previous prime is 11220000010003. The next prime is 11220000010091. The reversal of 11220000010010 is 1001000002211.

11220000010010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 2315726106001 + 8904273904009 = 1521751^2 + 2984003^2 .

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 11220000010010.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17901206 + ... + 18517374.

Almost surely, 211220000010010 is an apocalyptic number.

11220000010010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11220000010010 is an abundant number, since it is smaller than the sum of its proper divisors (11349197983990).

11220000010010 is a wasteful number, since it uses less digits than its factorization.

11220000010010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616448 (or 616437 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 11220000010010 its reverse (1001000002211), we get a palindrome (12221000012221).

The spelling of 11220000010010 in words is "eleven trillion, two hundred twenty billion, ten thousand, ten".

Divisors: 1 2 5 10 11 22 55 101 110 121 149 202 242 298 505 605 745 1010 1111 1210 1490 1639 2222 3278 5555 8195 11110 12221 15049 16390 18029 24442 30098 36058 61105 75245 90145 122210 150490 165539 180290 331078 616169 827695 1232338 1655390 1820929 3080845 3641858 6161690 6777859 9104645 13555718 18209290 33889295 62233069 67778590 74556449 91809181 124466138 149112898 183618362 311165345 372782245 459045905 622330690 684563759 745564490 918091810 1009900991 1369127518 2019801982 3422818795 5049504955 6845637590 7530201349 9272727281 10099009910 11108910901 15060402698 18545454562 22217821802 37651006745 46363636405 55544554505 75302013490 92727272810 102000000091 111089109010 204000000182 510000000455 1020000000910 1122000001001 2244000002002 5610000005005 11220000010010