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1110100020 = 2235157111777
BaseRepresentation
bin100001000101010…
…1100100000110100
32212100211220221120
41002022230200310
54233141200040
6302053143540
736336460131
oct10212544064
92770756846
101110100020
1151a693637
1226b92abb0
13148ca8c23
14a760b588
15676cd7d0
hex422ac834

1110100020 has 48 divisors (see below), whose sum is σ = 3110522688. Its totient is φ = 295813120.

The previous prime is 1110099979. The next prime is 1110100031. The reversal of 1110100020 is 200010111.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 1110099981 and 1110100008.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88372 + ... + 100148.

It is an arithmetic number, because the mean of its divisors is an integer number (64802556).

Almost surely, 21110100020 is an apocalyptic number.

1110100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1110100020 is an abundant number, since it is smaller than the sum of its proper divisors (2000422668).

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

1110100020 is a wasteful number, since it uses less digits than its factorization.

1110100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13360 (or 13358 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

The square root of 1110100020 is about 33318.1635148158. The cubic root of 1110100020 is about 1035.4299037902.

Adding to 1110100020 its reverse (200010111), we get a palindrome (1310110131).

The spelling of 1110100020 in words is "one billion, one hundred ten million, one hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1571 3142 4713 6284 7855 9426 11777 15710 18852 23554 23565 31420 35331 47108 47130 58885 70662 94260 117770 141324 176655 235540 353310 706620 18501667 37003334 55505001 74006668 92508335 111010002 185016670 222020004 277525005 370033340 555050010 1110100020