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11221003249812 = 2233473461638717
BaseRepresentation
bin1010001101001001011111…
…1010011010100010010100
31110201201101000021000002000
42203102113322122202110
52432321103312443222
635510505134115300
72235455630621646
oct243222772324224
943651330230060
1011221003249812
113636889892604
12131285734bb30
1363519cc252a5
142ab156c94896
15146d3d9bd9ac
hexa3497e9a894

11221003249812 has 96 divisors (see below), whose sum is σ = 29719088663040. Its totient is φ = 3659689388160.

The previous prime is 11221003249759. The next prime is 11221003249829. The reversal of 11221003249812 is 21894230012211.

It is a happy number.

11221003249812 is a `hidden beast` number, since 1 + 1 + 22 + 100 + 32 + 498 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17248678 + ... + 17887394.

It is an arithmetic number, because the mean of its divisors is an integer number (309573840240).

Almost surely, 211221003249812 is an apocalyptic number.

11221003249812 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 11221003249812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14859544331520).

11221003249812 is an abundant number, since it is smaller than the sum of its proper divisors (18498085413228).

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

11221003249812 is a wasteful number, since it uses less digits than its factorization.

11221003249812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642238 (or 642230 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 11221003249812 in words is "eleven trillion, two hundred twenty-one billion, three million, two hundred forty-nine thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 94 108 141 188 282 423 564 846 1269 1692 2538 3461 5076 6922 10383 13844 20766 31149 41532 62298 93447 124596 162667 186894 325334 373788 488001 638717 650668 976002 1277434 1464003 1916151 1952004 2554868 2928006 3832302 4392009 5748453 5856012 7664604 8784018 11496906 17245359 17568036 22993812 30019699 34490718 60039398 68981436 90059097 120078796 180118194 270177291 360236388 540354582 810531873 1080709164 1621063746 2210599537 3242127492 4421199074 6631798611 8842398148 13263597222 19895395833 26527194444 39790791666 59686187499 79581583332 103898178239 119372374998 207796356478 238744749996 311694534717 415592712956 623389069434 935083604151 1246778138868 1870167208302 2805250812453 3740334416604 5610501624906 11221003249812