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100220111010 = 23251113556789
BaseRepresentation
bin101110101010110010…
…1011000100010100010
3100120200111211010210100
41131111211120202202
53120222322023020
6114012424443230
710145355613365
oct1352545304242
9316614733710
10100220111010
1139559704828
121750b619516
1395b22b8846
144bca39a0dc
152918717a90
hex17559588a2

100220111010 has 24 divisors (see below), whose sum is σ = 260572288860. Its totient is φ = 26725362912.

The previous prime is 100220110973. The next prime is 100220111021. The reversal of 100220111010 is 10111022001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 97349616081 + 2870494929 = 312009^2 + 53577^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 100220110983 and 100220111001.

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 11 ways as a sum of consecutive naturals, for example, 556778305 + ... + 556778484.

Almost surely, 2100220111010 is an apocalyptic number.

100220111010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100220111010 is an abundant number, since it is smaller than the sum of its proper divisors (160352177850).

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

100220111010 is a wasteful number, since it uses less digits than its factorization.

100220111010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113556802 (or 1113556799 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100220111010 its reverse (10111022001), we get a palindrome (110331133011).

The spelling of 100220111010 in words is "one hundred billion, two hundred twenty million, one hundred eleven thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1113556789 2227113578 3340670367 5567783945 6681340734 10022011101 11135567890 16703351835 20044022202 33406703670 50110055505 100220111010