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11220010000002 = 233797973300001
BaseRepresentation
bin1010001101000101110010…
…1101011101111010000010
31110201121210210021200111000
42203101130231131322002
52432312040030000002
635510222413232430
72235422210263626
oct243213455357202
943647723250430
1011220010000002
11363641a15a2a1
12131261a792716
1363507220c6cb
142ab0a0dc3186
15146cd16c261c
hexa345cb5de82

11220010000002 has 64 divisors (see below), whose sum is σ = 25280655321600. Its totient is φ = 3688027200000.

The previous prime is 11220009999977. The next prime is 11220010000019. The reversal of 11220010000002 is 20000001002211.

11220010000002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 1750002 + ... + 5050002.

It is an arithmetic number, because the mean of its divisors is an integer number (395010239400).

Almost surely, 211220010000002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11220010000002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12640327660800).

11220010000002 is an abundant number, since it is smaller than the sum of its proper divisors (14060645321598).

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

11220010000002 is a wasteful number, since it uses less digits than its factorization.

11220010000002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3300888 (or 3300882 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 11220010000002 its reverse (20000001002211), we get a palindrome (31220011002213).

The spelling of 11220010000002 in words is "eleven trillion, two hundred twenty billion, ten million, two", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 27 54 79 158 237 474 711 797 1422 1594 2133 2391 4266 4782 7173 14346 21519 43038 62963 125926 188889 377778 566667 1133334 1700001 3300001 3400002 6600002 9900003 19800006 29700009 59400018 89100027 178200054 260700079 521400158 782100237 1564200474 2346300711 2630100797 4692601422 5260201594 7038902133 7890302391 14077804266 15780604782 23670907173 47341814346 71012721519 142025443038 207777962963 415555925926 623333888889 1246667777778 1870001666667 3740003333334 5610005000001 11220010000002