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1120100520 = 2335711241503
BaseRepresentation
bin100001011000011…
…0110000010101000
32220001200000001110
41002300312002220
54243221204040
6303051350320
736520461120
oct10260660250
92801600043
101120100520
115252a4110
122731523a0
1314b09aa96
14a8a91c80
1568506980
hex42c360a8

1120100520 has 256 divisors, whose sum is σ = 4215214080. Its totient is φ = 231321600.

The previous prime is 1120100479. The next prime is 1120100537. The reversal of 1120100520 is 250010211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1120100496 and 1120100505.

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 63 ways as a sum of consecutive naturals, for example, 2226589 + ... + 2227091.

It is an arithmetic number, because the mean of its divisors is an integer number (16465680).

Almost surely, 21120100520 is an apocalyptic number.

1120100520 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 1120100520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2107607040).

1120100520 is an abundant number, since it is smaller than the sum of its proper divisors (3095113560).

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

1120100520 is a wasteful number, since it uses less digits than its factorization.

1120100520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 1120100520 is about 33467.9028324154. The cubic root of 1120100520 is about 1038.5298878638.

Adding to 1120100520 its reverse (250010211), we get a palindrome (1370110731).

The spelling of 1120100520 in words is "one billion, one hundred twenty million, one hundred thousand, five hundred twenty".