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11222304100 = 2252735944657
BaseRepresentation
bin10100111001110011…
…01100010101100100
31001222002202010010121
422130321230111210
5140440402212400
65053324531324
7545046003520
oct123471542544
931862663117
1011222304100
114839775197
1222123b0b44
13109acc0a37
1478661ad80
1545a35221a
hex29ce6c564

11222304100 has 72 divisors (see below), whose sum is σ = 27909463680. Its totient is φ = 3836843520.

The previous prime is 11222304083. The next prime is 11222304151. The reversal of 11222304100 is 140322211.

11222304100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 228972 + ... + 273628.

It is an arithmetic number, because the mean of its divisors is an integer number (387631440).

Almost surely, 211222304100 is an apocalyptic number.

11222304100 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 11222304100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13954731840).

11222304100 is an abundant number, since it is smaller than the sum of its proper divisors (16687159580).

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

11222304100 is a wasteful number, since it uses less digits than its factorization.

11222304100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45037 (or 45030 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 11222304100 its reverse (140322211), we get a palindrome (11362626311).

The spelling of 11222304100 in words is "eleven billion, two hundred twenty-two million, three hundred four thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 359 700 718 1436 1795 2513 3590 5026 7180 8975 10052 12565 17950 25130 35900 44657 50260 62825 89314 125650 178628 223285 251300 312599 446570 625198 893140 1116425 1250396 1562995 2232850 3125990 4465700 6251980 7814975 15629950 16031863 31259900 32063726 64127452 80159315 112223041 160318630 224446082 320637260 400796575 448892164 561115205 801593150 1122230410 1603186300 2244460820 2805576025 5611152050 11222304100