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3134500020 = 2232541424729
BaseRepresentation
bin1011101011010100…
…1010110010110100
322002110010002200100
42322311022302310
522404413000040
61235011114100
7140450545011
oct27265126264
98073102610
103134500020
111369386293
127358a2930
133ac517352
1421a418708
151352b0b30
hexbad4acb4

3134500020 has 72 divisors (see below), whose sum is σ = 9739908360. Its totient is φ = 815477760.

The previous prime is 3134499997. The next prime is 3134500043. The reversal of 3134500020 is 200054313.

It is an interprime number because it is at equal distance from previous prime (3134499997) and next prime (3134500043).

It can be written as a sum of positive squares in 4 ways, for example, as 180794916 + 2953705104 = 13446^2 + 54348^2 .

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 = 3134499966 and 3134500002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 204985 + ... + 219744.

It is an arithmetic number, because the mean of its divisors is an integer number (135276505).

Almost surely, 23134500020 is an apocalyptic number.

3134500020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3134500020 is an abundant number, since it is smaller than the sum of its proper divisors (6605408340).

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

3134500020 is a wasteful number, since it uses less digits than its factorization.

3134500020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424785 (or 424780 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 3134500020 is about 55986.6057195826. The cubic root of 3134500020 is about 1463.4888758144.

Adding to 3134500020 its reverse (200054313), we get a palindrome (3334554333).

The spelling of 3134500020 in words is "three billion, one hundred thirty-four million, five hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 369 410 492 615 738 820 1230 1476 1845 2460 3690 7380 424729 849458 1274187 1698916 2123645 2548374 3822561 4247290 5096748 6370935 7645122 8494580 12741870 15290244 17413889 19112805 25483740 34827778 38225610 52241667 69655556 76451220 87069445 104483334 156725001 174138890 208966668 261208335 313450002 348277780 522416670 626900004 783625005 1044833340 1567250010 3134500020