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1011012212200 = 235217544354631
BaseRepresentation
bin11101011011001010000…
…01100001010111101000
310120122121011211202201011
432231211001201113220
5113031023111242300
62052241432233304
7133020553003654
oct16554501412750
93518534752634
101011012212200
1135a84a044a11
12143b35b3b834
13744518aa933
1436d0cbb5a64
151b473418eba
hexeb650615e8

1011012212200 has 96 divisors (see below), whose sum is σ = 2489377008960. Its totient is φ = 380539468800.

The previous prime is 1011012212179. The next prime is 1011012212219. The reversal of 1011012212200 is 22122101101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18478885 + ... + 18533515.

It is an arithmetic number, because the mean of its divisors is an integer number (25931010510).

Almost surely, 21011012212200 is an apocalyptic number.

1011012212200 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 1011012212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1244688504480).

1011012212200 is an abundant number, since it is smaller than the sum of its proper divisors (1478364796760).

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

1011012212200 is a wasteful number, since it uses less digits than its factorization.

1011012212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60107 (or 60098 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1011012212200 its reverse (22122101101), we get a palindrome (1033134313301).

The spelling of 1011012212200 in words is "one trillion, eleven billion, twelve million, two hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 850 1700 3400 5443 10886 21772 27215 43544 54430 54631 92531 108860 109262 136075 185062 217720 218524 272150 273155 370124 437048 462655 544300 546310 740248 925310 928727 1088600 1092620 1365775 1850620 1857454 2185240 2313275 2731550 3701240 3714908 4626550 4643635 5463100 7429816 9253100 9287270 10926200 18506200 18574540 23218175 37149080 46436350 92872700 185745400 297356533 594713066 1189426132 1486782665 2378852264 2973565330 5055061061 5947130660 7433913325 10110122122 11894261320 14867826650 20220244244 25275305305 29735653300 40440488488 50550610610 59471306600 101101221220 126376526525 202202442440 252753053050 505506106100 1011012212200