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1120020020 = 225729733779
BaseRepresentation
bin100001011000010…
…0010011000110100
32220001111220121222
41002300202120310
54243211120040
6303045525512
736520004330
oct10260423064
92801456558
101120020020
11525249689
12273113898
1314b070252
14a8a707c0
15684dcbb5
hex42c22634

1120020020 has 96 divisors (see below), whose sum is σ = 2819577600. Its totient is φ = 365589504.

The previous prime is 1120019977. The next prime is 1120020023. The reversal of 1120020020 is 200200211.

1120020020 is a modest number, since divided by 20020 gives 1120 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1120020023) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 294491 + ... + 298269.

It is an arithmetic number, because the mean of its divisors is an integer number (29370600).

Almost surely, 21120020020 is an apocalyptic number.

1120020020 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 1120020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1409788800).

1120020020 is an abundant number, since it is smaller than the sum of its proper divisors (1699557580).

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

1120020020 is a wasteful number, since it uses less digits than its factorization.

1120020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3897 (or 3895 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 1120020020 is about 33466.7001659859. The cubic root of 1120020020 is about 1038.5050080555.

Adding to 1120020020 its reverse (200200211), we get a palindrome (1320220231).

It can be divided in two parts, 1 and 120020020, that added together give a palindrome (120020021).

The spelling of 1120020020 in words is "one billion, one hundred twenty million, twenty thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 73 116 140 145 146 203 290 292 365 406 511 580 730 812 1015 1022 1460 2030 2044 2117 2555 3779 4060 4234 5110 7558 8468 10220 10585 14819 15116 18895 21170 26453 29638 37790 42340 52906 59276 74095 75580 105812 109591 132265 148190 219182 264530 275867 296380 438364 529060 547955 551734 767137 1095910 1103468 1379335 1534274 1931069 2191820 2758670 3068548 3835685 3862138 5517340 7671370 7724276 8000143 9655345 15342740 16000286 19310690 32000572 38621380 40000715 56001001 80001430 112002002 160002860 224004004 280005005 560010010 1120020020