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11020012210000 = 24542227349477
BaseRepresentation
bin1010000001011100101111…
…1010011100011101010000
31110000111120121011021112101
42200113023322130131100
52421022441111210000
635234305042410144
72215112114153023
oct240271372343520
943014517137471
1011020012210000
113569619668542
12129b903960954
1361c24b4b5431
142a152b3191ba
151419c8537e6a
hexa05cbe9c750

11020012210000 has 100 divisors (see below), whose sum is σ = 26682288725092. Its totient is φ = 4407717888000.

The previous prime is 11020012209991. The next prime is 11020012210013. The reversal of 11020012210000 is 1221002011.

It can be written as a sum of positive squares in 10 ways, for example, as 11018203919424 + 1808290576 = 3319368^2 + 42524^2 .

It is a tau number, because it is divible by the number of its divisors (100).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 222705262 + ... + 222754738.

Almost surely, 211020012210000 is an apocalyptic number.

11020012210000 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 11020012210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13341144362546).

11020012210000 is an abundant number, since it is smaller than the sum of its proper divisors (15662276515092).

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

11020012210000 is an equidigital number, since it uses as much as digits as its factorization.

11020012210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71778 (or 71757 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 11020012210000 its reverse (1221002011), we get a palindrome (11021233212011).

The spelling of 11020012210000 in words is "eleven trillion, twenty billion, twelve million, two hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 22273 44546 49477 89092 98954 111365 178184 197908 222730 247385 356368 395816 445460 494770 556825 791632 890920 989540 1113650 1236925 1781840 1979080 2227300 2473850 2784125 3958160 4454600 4947700 5568250 6184625 8909200 9895400 11136500 12369250 13920625 19790800 22273000 24738500 27841250 30923125 44546000 49477000 55682500 61846250 98954000 111365000 123692500 222730000 247385000 494770000 1102001221 2204002442 4408004884 5510006105 8816009768 11020012210 17632019536 22040024420 27550030525 44080048840 55100061050 88160097680 110200122100 137750152625 220400244200 275500305250 440800488400 551000610500 688750763125 1102001221000 1377501526250 2204002442000 2755003052500 5510006105000 11020012210000