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11220101112100 = 2252433827313331
BaseRepresentation
bin1010001101000110001000…
…1001000010000100100100
31110201122001010201122210011
42203101202021002010210
52432312231341041400
635510235430140004
72235424364600566
oct243214211020444
943648033648704
1011220101112100
113636466630151
1213126451b1604
136350880608aa
142ab0ad13d336
15146cd96bd8ba
hexa3462242124

11220101112100 has 72 divisors (see below), whose sum is σ = 24433436347488. Its totient is φ = 4472246822400.

The previous prime is 11220101112097. The next prime is 11220101112131. The reversal of 11220101112100 is 121110102211.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35652435 + ... + 35965765.

It is an arithmetic number, because the mean of its divisors is an integer number (339353282604).

Almost surely, 211220101112100 is an apocalyptic number.

11220101112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11220101112100 is an abundant number, since it is smaller than the sum of its proper divisors (13213335235388).

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

11220101112100 is a wasteful number, since it uses less digits than its factorization.

11220101112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314605 (or 314598 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 11220101112100 its reverse (121110102211), we get a palindrome (11341211214311).

The spelling of 11220101112100 in words is "eleven trillion, two hundred twenty billion, one hundred one million, one hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 433 827 866 1654 1732 2165 3308 4135 4330 8270 8660 10825 16540 20675 21650 41350 43300 82700 313331 358091 626662 716182 1253324 1432364 1566655 1790455 3133310 3580910 6266620 7161820 7833275 8952275 15666550 17904550 31333100 35809100 135672323 259124737 271344646 518249474 542689292 678361615 1036498948 1295623685 1356723230 2591247370 2713446460 3391808075 5182494740 6478118425 6783616150 12956236850 13567232300 25912473700 112201011121 224402022242 448804044484 561005055605 1122010111210 2244020222420 2805025278025 5610050556050 11220101112100