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2150134020 = 2232516377297
BaseRepresentation
bin1000000000101000…
…0111000100000100
312112211212010101100
42000022013010010
513400413242040
6553204500100
7104165560206
oct20012070404
95484763340
102150134020
11a03770571
125000aa630
132835c2268
141657ba776
15c8b6bb30
hex80287104

2150134020 has 72 divisors (see below), whose sum is σ = 6526951704. Its totient is φ = 572940288.

The previous prime is 2150134009. The next prime is 2150134027. The reversal of 2150134020 is 204310512.

It can be written as a sum of positive squares in 4 ways, for example, as 9036036 + 2141097984 = 3006^2 + 46272^2 .

It is a super-2 number, since 2×21501340202 = 9246152607922720800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2150133984 and 2150134002.

It is not an unprimeable number, because it can be changed into a prime (2150134027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 291012 + ... + 298308.

It is an arithmetic number, because the mean of its divisors is an integer number (90652107).

Almost surely, 22150134020 is an apocalyptic number.

2150134020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2150134020 is an abundant number, since it is smaller than the sum of its proper divisors (4376817684).

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

2150134020 is a wasteful number, since it uses less digits than its factorization.

2150134020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8949 (or 8944 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2150134020 is about 46369.5376297845. The cubic root of 2150134020 is about 1290.6896978904.

Adding to 2150134020 its reverse (204310512), we get a palindrome (2354444532).

The spelling of 2150134020 in words is "two billion, one hundred fifty million, one hundred thirty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1637 3274 4911 6548 7297 8185 9822 14594 14733 16370 19644 21891 24555 29188 29466 32740 36485 43782 49110 58932 65673 72970 73665 87564 98220 109455 131346 145940 147330 218910 262692 294660 328365 437820 656730 1313460 11945189 23890378 35835567 47780756 59725945 71671134 107506701 119451890 143342268 179177835 215013402 238903780 358355670 430026804 537533505 716711340 1075067010 2150134020