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1011200420 = 2252914911701
BaseRepresentation
bin111100010001011…
…011000110100100
32121110202022012102
4330101123012210
54032331403140
6244201311232
734026030116
oct7421330644
92543668172
101011200420
1147988392a
12242795518
1313165c259
14984253b6
155db94e15
hex3c45b1a4

1011200420 has 48 divisors (see below), whose sum is σ = 2211678000. Its totient is φ = 387878400.

The previous prime is 1011200369. The next prime is 1011200429. The reversal of 1011200420 is 240021101.

It can be written as a sum of positive squares in 8 ways, for example, as 16176484 + 995023936 = 4022^2 + 31544^2 .

It is not an unprimeable number, because it can be changed into a prime (1011200429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80570 + ... + 92270.

It is an arithmetic number, because the mean of its divisors is an integer number (46076625).

Almost surely, 21011200420 is an apocalyptic number.

1011200420 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 1011200420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1105839000).

1011200420 is an abundant number, since it is smaller than the sum of its proper divisors (1200477580).

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

1011200420 is a wasteful number, since it uses less digits than its factorization.

1011200420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11888 (or 11886 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 1011200420 is about 31799.3776668664. The cubic root of 1011200420 is about 1003.7196206015.

Adding to 1011200420 its reverse (240021101), we get a palindrome (1251221521).

The spelling of 1011200420 in words is "one billion, eleven million, two hundred thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 149 290 298 580 596 745 1490 2980 4321 8642 11701 17284 21605 23402 43210 46804 58505 86420 117010 234020 339329 678658 1357316 1696645 1743449 3393290 3486898 6786580 6973796 8717245 17434490 34868980 50560021 101120042 202240084 252800105 505600210 1011200420